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Author ID: burde.dietrich Recent zbMATH articles by "Burde, Dietrich"
Published as: Burde, Dietrich; Burde, D.
Documents Indexed: 63 Publications since 1993, including 2 Books and 3 Additional arXiv Preprints
Reviewing Activity: 41 Reviews
Co-Authors: 21 Co-Authors with 41 Joint Publications
336 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 966 times in 499 Documents Cited by Year
Left-symmetric algebras, or pre-Lie algebras in geometry and physics. Zbl 1151.17301
Burde, Dietrich
177
2006
Classification of orbit closures of 4-dimensional complex Lie algebras. Zbl 0932.17005
Burde, Dietrich; Steinhoff, Christine
88
1999
Affine structures on nilmanifolds. Zbl 0868.57034
Burde, Dietrich
44
1996
Simple left-symmetric algebras with solvable Lie algebra. Zbl 0907.17008
Burde, Dietrich
37
1998
Affine actions on Lie groups and post-Lie algebra structures. Zbl 1286.17012
Burde, Dietrich; Dekimpe, Karel; Vercammen, Kim
37
2012
Degenerations of 7-dimensional nilpotent Lie algebras. Zbl 1126.17011
Burde, Dietrich
28
2005
Modules for certain Lie algebras of maximal class. Zbl 0845.17011
Burde, D.; Grunewald, F.
27
1995
Commutative post-Lie algebra structures on Lie algebras. Zbl 1395.17011
Burde, Dietrich; Moens, Wolfgang Alexander
27
2016
Classification of orbit closures in the variety of three-dimensional Novikov algebras. Zbl 1301.17022
Beneš, Thomas; Burde, Dietrich
26
2014
Post-Lie algebra structures and generalized derivations of semisimple Lie algebras. Zbl 1345.17011
Burde, Dietrich; Dekimpe, Karel
26
2013
Abelian ideals of maximal dimension for solvable Lie algebras. Zbl 1257.17015
Burde, Dietrich; Ceballos, Manuel
26
2012
LR-algebras. Zbl 1251.17003
Burde, Dietrich; Dekimpe, Karel; Deschamps, Sandra
26
2009
Post-Lie algebra structures on pairs of Lie algebras. Zbl 1392.17010
Burde, Dietrich; Dekimpe, Karel
24
2016
On a refinement of Ado’s theorem. Zbl 0904.17006
Burde, Dietrich
24
1998
Degenerations of pre-Lie algebras. Zbl 1284.17019
Beneš, Thomas; Burde, Dietrich
23
2009
Classification of Novikov algebras. Zbl 1301.17023
Burde, Dietrich; de Graaf, Willem
22
2013
Left-invariant affine structures on reductive Lie groups. Zbl 0860.53020
Burde, Dietrich
22
1996
Novikov structures on solvable Lie algebras. Zbl 1095.17004
Burde, Dietrich; Dekimpe, Karel
21
2006
Degenerations of nilpotent Lie algebras. Zbl 1063.17009
Burde, Dietrich
20
1999
Jacobi-Jordan algebras. Zbl 1385.17013
Burde, Dietrich; Fialowski, Alice
17
2014
Complete LR-structures on solvable Lie algebras. Zbl 1251.17004
Burde, Dietrich; Dekimpe, Karel; Vercammen, Kim
16
2010
Almost inner derivations of Lie algebras. Zbl 1429.17018
Burde, Dietrich; Dekimpe, Karel; Verbeke, Bert
13
2018
Affine actions on nilpotent Lie groups. Zbl 1175.22007
Burde, Dietrich; Dekimpe, Karel; Deschamps, Sandra
13
2009
Minimal faithful representations of reductive Lie algebras. Zbl 1136.17006
Burde, Dietrich; Moens, Wolfgang
12
2007
Commutative post-Lie algebra structures and linear equations for nilpotent Lie algebras. Zbl 1469.17011
Burde, Dietrich; Dekimpe, Karel; Moens, Wolfgang Alexander
11
2019
Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras. Zbl 1455.17007
Burde, Dietrich; Gubarev, Vsevolod
11
2019
Periodic derivations and prederivations of Lie algebras. Zbl 1305.17017
Burde, Dietrich; Moens, Wolfgang Alexander
11
2012
Left-symmetric structures on simple modular Lie algebras. Zbl 0824.17021
Burde, Dietrich
11
1994
Novikov algebras and Novikov structures on Lie algebras. Zbl 1140.17001
Burde, Dietrich; Dekimpe, Karel; Vercammen, Kim
11
2008
The Auslander conjecture for NIL-affine crystallographic groups. Zbl 1081.20058
Burde, Dietrich; Dekimpe, Karel; Deschamps, Sandra
10
2005
On the matrix equation \(XA-AX = X^p\). Zbl 1079.15015
Burde, Dietrich
8
2005
Lie algebra prederivations and strongly nilpotent Lie algebras. Zbl 1032.17031
Burde, Dietrich
8
2002
Affine cohomology classes for filiform Lie algebras. Zbl 0967.17017
Burde, Dietrich
8
2000
Computing faithful representations for nilpotent Lie algebras. Zbl 1188.17007
Burde, Dietrich; Eick, Bettina; de Graaf, Willem
8
2009
Decompositions of algebras and post-associative algebra structures. Zbl 1472.17043
Burde, Dietrich; Gubarev, Vsevolod
7
2020
Characteristically nilpotent Lie algebras and symplectic structures. Zbl 1206.17009
Burde, Dietrich
7
2006
Faithful Lie algebra modules and quotients of the universal enveloping algebra. Zbl 1273.17015
Burde, Dietrich; Moens, Wolfgang Alexander
6
2011
Left-invariant affine structures on nilpotent Lie groups. Zbl 1092.53500
Burde, Dietrich
6
1999
Contractions of Lie algebras and algebraic groups. Zbl 1199.14016
Burde, Dietrich
6
2007
Almost inner derivations of Lie algebras. II. Zbl 1475.17028
Burde, Dietrich; Dekimpe, Karel; Verbeke, Bert
5
2021
Étale representations for reductive algebraic groups with one-dimensional center. Zbl 1371.32015
Burde, Dietrich; Globke, Wolfgang
4
2017
Almost inner derivations of 2-step nilpotent Lie algebras of genus 2. Zbl 1472.17042
Burde, Dietrich; Dekimpe, Karel; Verbeke, Bert
4
2021
Post-Lie algebra structures for nilpotent Lie algebras. Zbl 1442.17010
Burde, Dietrich; Ender, Christof; Moens, Wolfgang Alexander
3
2018
Étale representations for reductive algebraic groups with factors \(\mathrm{Sp}_n\) or \(\mathrm{SO}_n\). Zbl 1475.20077
Burde, Dietrich; Globke, Wolfgang; Minchenko, Andrei
3
2019
A Zassenhaus conjecture and CPA-structures on simple modular Lie algebras. Zbl 1486.17030
Burde, Dietrich; Moens, Wolfgang Alexander
3
2020
Etale affine representations of Lie groups. Zbl 0887.22012
Burde, Dietrich
3
1998
Classical \(r\)-matrices and Novikov algebras. Zbl 1118.17001
Burde, Dietrich
3
2006
Commutative post-Lie algebra structures on Kac-Moody algebras. Zbl 1471.17045
Burde, Dietrich; Zusmanovich, Pasha
2
2019
Semisimple decompositions of Lie algebras and prehomogeneous modules. Zbl 1503.17011
Burde, Dietrich; Moens, Wolfgang Alexander
2
2022
Rigidity results for Lie algebras admitting a post-Lie algebra structure. Zbl 1526.17019
Burde, Dietrich; Dekimpe, Karel; Monadjem, Mina
2
2022
Crystallographic actions on Lie groups and post-Lie algebra structures. Zbl 1537.20125
Burde, Dietrich
2
2021
Commutative post-Lie algebra structures on nilpotent Lie algebras and Poisson algebras. Zbl 1423.17013
Burde, Dietrich; Ender, Christof
1
2020
Left-symmetric algebras and left-symmetric structures on Lie algebras. (Linkssymmetrische Algebren und linkssymmetrische Strukturen auf Lie-Algebren.) Zbl 0859.17013
Burde, Dietrich
1
1993
Counterexamples to the Zassenhaus conjecture on simple modular Lie algebras. Zbl 1541.17010
Burde, Dietrich; Moens, Wolfgang; Páez-Guillán, Pilar
1
2023
Estimates on binomial sums of partition functions. Zbl 0983.11059
Burde, Dietrich
1
2000
A remark on an inequality for the prime counting function. Zbl 1137.11061
Burde, Dietrich
1
2007
Counterexamples to the Zassenhaus conjecture on simple modular Lie algebras. Zbl 1541.17010
Burde, Dietrich; Moens, Wolfgang; Páez-Guillán, Pilar
1
2023
Semisimple decompositions of Lie algebras and prehomogeneous modules. Zbl 1503.17011
Burde, Dietrich; Moens, Wolfgang Alexander
2
2022
Rigidity results for Lie algebras admitting a post-Lie algebra structure. Zbl 1526.17019
Burde, Dietrich; Dekimpe, Karel; Monadjem, Mina
2
2022
Almost inner derivations of Lie algebras. II. Zbl 1475.17028
Burde, Dietrich; Dekimpe, Karel; Verbeke, Bert
5
2021
Almost inner derivations of 2-step nilpotent Lie algebras of genus 2. Zbl 1472.17042
Burde, Dietrich; Dekimpe, Karel; Verbeke, Bert
4
2021
Crystallographic actions on Lie groups and post-Lie algebra structures. Zbl 1537.20125
Burde, Dietrich
2
2021
Decompositions of algebras and post-associative algebra structures. Zbl 1472.17043
Burde, Dietrich; Gubarev, Vsevolod
7
2020
A Zassenhaus conjecture and CPA-structures on simple modular Lie algebras. Zbl 1486.17030
Burde, Dietrich; Moens, Wolfgang Alexander
3
2020
Commutative post-Lie algebra structures on nilpotent Lie algebras and Poisson algebras. Zbl 1423.17013
Burde, Dietrich; Ender, Christof
1
2020
Commutative post-Lie algebra structures and linear equations for nilpotent Lie algebras. Zbl 1469.17011
Burde, Dietrich; Dekimpe, Karel; Moens, Wolfgang Alexander
11
2019
Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras. Zbl 1455.17007
Burde, Dietrich; Gubarev, Vsevolod
11
2019
Étale representations for reductive algebraic groups with factors \(\mathrm{Sp}_n\) or \(\mathrm{SO}_n\). Zbl 1475.20077
Burde, Dietrich; Globke, Wolfgang; Minchenko, Andrei
3
2019
Commutative post-Lie algebra structures on Kac-Moody algebras. Zbl 1471.17045
Burde, Dietrich; Zusmanovich, Pasha
2
2019
Almost inner derivations of Lie algebras. Zbl 1429.17018
Burde, Dietrich; Dekimpe, Karel; Verbeke, Bert
13
2018
Post-Lie algebra structures for nilpotent Lie algebras. Zbl 1442.17010
Burde, Dietrich; Ender, Christof; Moens, Wolfgang Alexander
3
2018
Étale representations for reductive algebraic groups with one-dimensional center. Zbl 1371.32015
Burde, Dietrich; Globke, Wolfgang
4
2017
Commutative post-Lie algebra structures on Lie algebras. Zbl 1395.17011
Burde, Dietrich; Moens, Wolfgang Alexander
27
2016
Post-Lie algebra structures on pairs of Lie algebras. Zbl 1392.17010
Burde, Dietrich; Dekimpe, Karel
24
2016
Classification of orbit closures in the variety of three-dimensional Novikov algebras. Zbl 1301.17022
Beneš, Thomas; Burde, Dietrich
26
2014
Jacobi-Jordan algebras. Zbl 1385.17013
Burde, Dietrich; Fialowski, Alice
17
2014
Post-Lie algebra structures and generalized derivations of semisimple Lie algebras. Zbl 1345.17011
Burde, Dietrich; Dekimpe, Karel
26
2013
Classification of Novikov algebras. Zbl 1301.17023
Burde, Dietrich; de Graaf, Willem
22
2013
Affine actions on Lie groups and post-Lie algebra structures. Zbl 1286.17012
Burde, Dietrich; Dekimpe, Karel; Vercammen, Kim
37
2012
Abelian ideals of maximal dimension for solvable Lie algebras. Zbl 1257.17015
Burde, Dietrich; Ceballos, Manuel
26
2012
Periodic derivations and prederivations of Lie algebras. Zbl 1305.17017
Burde, Dietrich; Moens, Wolfgang Alexander
11
2012
Faithful Lie algebra modules and quotients of the universal enveloping algebra. Zbl 1273.17015
Burde, Dietrich; Moens, Wolfgang Alexander
6
2011
Complete LR-structures on solvable Lie algebras. Zbl 1251.17004
Burde, Dietrich; Dekimpe, Karel; Vercammen, Kim
16
2010
LR-algebras. Zbl 1251.17003
Burde, Dietrich; Dekimpe, Karel; Deschamps, Sandra
26
2009
Degenerations of pre-Lie algebras. Zbl 1284.17019
Beneš, Thomas; Burde, Dietrich
23
2009
Affine actions on nilpotent Lie groups. Zbl 1175.22007
Burde, Dietrich; Dekimpe, Karel; Deschamps, Sandra
13
2009
Computing faithful representations for nilpotent Lie algebras. Zbl 1188.17007
Burde, Dietrich; Eick, Bettina; de Graaf, Willem
8
2009
Novikov algebras and Novikov structures on Lie algebras. Zbl 1140.17001
Burde, Dietrich; Dekimpe, Karel; Vercammen, Kim
11
2008
Minimal faithful representations of reductive Lie algebras. Zbl 1136.17006
Burde, Dietrich; Moens, Wolfgang
12
2007
Contractions of Lie algebras and algebraic groups. Zbl 1199.14016
Burde, Dietrich
6
2007
A remark on an inequality for the prime counting function. Zbl 1137.11061
Burde, Dietrich
1
2007
Left-symmetric algebras, or pre-Lie algebras in geometry and physics. Zbl 1151.17301
Burde, Dietrich
177
2006
Novikov structures on solvable Lie algebras. Zbl 1095.17004
Burde, Dietrich; Dekimpe, Karel
21
2006
Characteristically nilpotent Lie algebras and symplectic structures. Zbl 1206.17009
Burde, Dietrich
7
2006
Classical \(r\)-matrices and Novikov algebras. Zbl 1118.17001
Burde, Dietrich
3
2006
Degenerations of 7-dimensional nilpotent Lie algebras. Zbl 1126.17011
Burde, Dietrich
28
2005
The Auslander conjecture for NIL-affine crystallographic groups. Zbl 1081.20058
Burde, Dietrich; Dekimpe, Karel; Deschamps, Sandra
10
2005
On the matrix equation \(XA-AX = X^p\). Zbl 1079.15015
Burde, Dietrich
8
2005
Lie algebra prederivations and strongly nilpotent Lie algebras. Zbl 1032.17031
Burde, Dietrich
8
2002
Affine cohomology classes for filiform Lie algebras. Zbl 0967.17017
Burde, Dietrich
8
2000
Estimates on binomial sums of partition functions. Zbl 0983.11059
Burde, Dietrich
1
2000
Classification of orbit closures of 4-dimensional complex Lie algebras. Zbl 0932.17005
Burde, Dietrich; Steinhoff, Christine
88
1999
Degenerations of nilpotent Lie algebras. Zbl 1063.17009
Burde, Dietrich
20
1999
Left-invariant affine structures on nilpotent Lie groups. Zbl 1092.53500
Burde, Dietrich
6
1999
Simple left-symmetric algebras with solvable Lie algebra. Zbl 0907.17008
Burde, Dietrich
37
1998
On a refinement of Ado’s theorem. Zbl 0904.17006
Burde, Dietrich
24
1998
Etale affine representations of Lie groups. Zbl 0887.22012
Burde, Dietrich
3
1998
Affine structures on nilmanifolds. Zbl 0868.57034
Burde, Dietrich
44
1996
Left-invariant affine structures on reductive Lie groups. Zbl 0860.53020
Burde, Dietrich
22
1996
Modules for certain Lie algebras of maximal class. Zbl 0845.17011
Burde, D.; Grunewald, F.
27
1995
Left-symmetric structures on simple modular Lie algebras. Zbl 0824.17021
Burde, Dietrich
11
1994
Left-symmetric algebras and left-symmetric structures on Lie algebras. (Linkssymmetrische Algebren und linkssymmetrische Strukturen auf Lie-Algebren.) Zbl 0859.17013
Burde, Dietrich
1
1993
all top 5

Cited by 472 Authors

48 Bai, Chengming
42 Burde, Dietrich
35 Kaygorodov, Ivan
23 Dekimpe, Karel
20 Sheng, Yunhe
16 Liu, Jiefeng
15 Omirov, Bakhrom A.
13 Khudoyberdiyev, Abror Kh.
13 Tang, Xiaomin
12 Ceballos, Manuel
11 Camacho, Luisa Maria
11 Guo, Li
11 Moens, Wolfgang Alexander
11 Núñez-Valdés, Juan
10 Chen, Zhiqi
9 Ismailov, Nurlan A.
9 Volkov, Yuriĭ S.
8 Alvarez, María Alejandra
8 Gubarev, Vsevolod Yur’evich
8 Pozhidaev, Aleksandr Petrovich
8 Tenorio, Ángel F.
8 Umirbaev, Ualbaĭ Utmakhanbetovich
7 Ladra González, Manuel
7 Navarro, Rosa María
6 Ebrahimi-Fard, Kurusch
6 Hou, Dongping
6 Liu, Guilai
6 Mabrouk, Sami
6 Song, Lina
5 Agore, Ana-Loredana
5 Cagliero, Leandro
5 Calderón Martín, Antonio Jesús
5 Chen, Hongjia
5 Fernández Ouaridi, Amir
5 Fialowski, Alice
5 Khrypchenko, Mykola S.
5 Liu, Shanshan
5 Liu, Wende
5 Makhlouf, Abdenacer
5 Popov, Yury
4 Adashev, Jobir Q.
4 Artemovych, Orest Dem”yanovych
4 Blackmore, Denis L.
4 Bokut, Leonid A.
4 Chen, Yuqun
4 de Graaf, Willem Adriaan
4 Hong, Yanyong
4 Karimjanov, Ikboljon Abdulazizovich
4 Lopes, Samuel A.
4 Manchon, Dominique
4 Meng, Daoji
4 Ni, Xiang
4 Patras, Frédéric
4 Pei, Yufeng
4 Popovych, Roman O.
4 Prykarpatsky, Anatoliy Karolevych
4 Rojas, Nadina Elizabeth
4 Salgado, Gil
4 Smoktunowicz, Agata
4 Tang, Rong
4 Tirao, Paulo
4 Zhang, Zerui
3 Barreiro, Elisabete
3 Beltiţă, Daniel
3 Benayadi, Saïd
3 Chen, Liangyun
3 Chtioui, Taoufik
3 Dotsenko, Vladimir Viktorovich
3 Dzhumadil’daev, Askar Serkulovich
3 Globke, Wolfgang
3 Goze, Michel
3 Hernández, Isabel
3 Hounkonnou, Mahouton Norbert
3 Igodt, Paul
3 Konyaev, Andreĭ Yu.
3 Mashurov, Farukh A.
3 Mencattini, Igor
3 Militaru, Gigel
3 Páez-Guillán, Pilar
3 Penkava, Michael
3 Popovych, Dmytro R.
3 Schork, Matthias
3 Tan, Youjun
3 Towers, David A.
3 Verbeke, Bert
3 Vercammen, Kim
3 Wang, Qi
3 Wang, Qi
3 Wang, Shujuan
3 Zhang, Runxuan
3 Zhelyabin, Viktor Nikolaevich
3 Zusmanovich, Pasha
2 Abdelwahab, Hani
2 Aissa, T. Ait
2 Al-Kaabi, Mahdi Jasim Hasan
2 Avetisyan, Zhirayr G.
2 Bai, Ruipu
2 Bardakov, Valeriĭ Georgievich
2 Beltiţă, Ingrid
2 Benali, Karima
...and 372 more Authors
all top 5

Cited in 125 Serials

59 Communications in Algebra
58 Journal of Algebra
32 Linear Algebra and its Applications
26 Journal of Geometry and Physics
22 Journal of Algebra and its Applications
17 Linear and Multilinear Algebra
9 Journal of Pure and Applied Algebra
8 Journal of Mathematical Physics
8 Forum Mathematicum
8 International Journal of Algebra and Computation
7 Transactions of the American Mathematical Society
7 Differential Geometry and its Applications
7 Journal of Mathematical Sciences (New York)
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Communications in Mathematics
6 Siberian Mathematical Journal
6 Journal of Lie Theory
6 Algebras and Representation Theory
5 Communications in Contemporary Mathematics
5 Journal of Nonlinear Mathematical Physics
4 Proceedings of the American Mathematical Society
4 Quaestiones Mathematicae
4 International Journal of Mathematics
4 International Journal of Computer Mathematics
4 Transformation Groups
4 International Journal of Geometric Methods in Modern Physics
4 Mediterranean Journal of Mathematics
4 Journal of Noncommutative Geometry
3 Communications in Mathematical Physics
3 Advances in Mathematics
3 Czechoslovak Mathematical Journal
3 Geometriae Dedicata
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Topology and its Applications
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Electronic Research Archive
2 Algebra and Logic
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Nachrichten
2 Bulletin of the Korean Mathematical Society
2 Annals of Global Analysis and Geometry
2 The Journal of Geometric Analysis
2 Journal of Algebraic Combinatorics
2 Applied Categorical Structures
2 Theory and Applications of Categories
2 Revista Matemática Complutense
2 Acta et Commentationes Universitatis Tartuensis de Mathematica
2 Hacettepe Journal of Mathematics and Statistics
2 Proceedings of the Steklov Institute of Mathematics
2 Mathematics in Computer Science
2 Asian-European Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Symmetry
2 Forum of Mathematics, Sigma
2 Journal of Siberian Federal University. Mathematics & Physics
2 Bollettino dell’Unione Matematica Italiana
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Letters in Mathematical Physics
1 Periodica Mathematica Hungarica
1 Reviews in Mathematical Physics
1 Automatica
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Theoretical Computer Science
1 Tôhoku Mathematical Journal. Second Series
1 Bulletin of the Iranian Mathematical Society
1 Journal of Symbolic Computation
1 Extracta Mathematicae
1 Applied Mathematics Letters
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Russian Mathematics
1 Russian Journal of Mathematical Physics
1 Turkish Journal of Mathematics
1 Advances in Applied Clifford Algebras
1 Filomat
1 Discrete and Continuous Dynamical Systems
1 Arab Journal of Mathematical Sciences
1 European Mathematical Society Newsletter
1 The Ramanujan Journal
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Journal of Group Theory
...and 25 more Serials

Citations by Year