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Helminck, Aloysius G.

Author ID: helminck.aloysius-g Recent zbMATH articles by "Helminck, Aloysius G."
Published as: Helminck, Aloysius G.; Helminck, A. G.; Helminck, A.; Helminck, Aloysius

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 365 times in 177 Documents Cited by Year
On rationality properties of involutions of reductive groups. Zbl 0788.22022
Helminck, A. G.; Wang, S. P.
65
1993
Trilinear alternating forms on a vector space of dimension 7. Zbl 0646.15019
Cohen, Arjeh M.; Helminck, Aloysius G.
36
1988
Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces. Zbl 0685.22007
Helminck, Aloysius G.
35
1988
On the classification of \(k\)-involutions. Zbl 0974.20033
Helminck, A. G.
18
2000
On orbit closures of symmetric subgroups in flag varieties. Zbl 0972.14039
Brion, Michel; Helminck, Aloysius G.
18
2000
A class of parabolic \(k\)-subgroups associated with symmetric \(k\)-varieties. Zbl 0912.20041
Helminck, A. G.; Helminck, G. F.
18
1998
Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective. Zbl 1352.17030
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A.
16
2013
Classification of involutions of \(\text{SL}(2,k)\). Zbl 1001.20044
Helminck, Aloysius G.; Wu, Ling
15
2002
Involutions of \(\text{SL}(n,k)\), (\(n>2\)). Zbl 1100.14040
Helminck, Aloysius G.; Wu, Ling; Dometrius, Christopher E.
13
2006
Tori invariant under an involutorial automorphism. I. Zbl 0731.20029
Helminck, A. G.
12
1991
Tori invariant under an involutorial automorphism. II. Zbl 0911.20034
Helminck, A. G.
12
1997
Orbits and invariants associated with a pair of commuting involutions. Zbl 1015.20031
Helminck, Aloysius G.; Schwarz, Gerald W.
12
2001
Symmetric \(k\)-varieties. Zbl 0819.20048
Helminck, A. G.
7
1994
Combinatorics related to orbit closures of symmetric subgroups in flag varieties. Zbl 1067.14050
Helminck, Aloysius G.
7
2004
Cauchy problems related to integrable deformations of pseudo differential operators. Zbl 1298.35259
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A.
6
2014
On the classification of orbits of symmetric subgroups acting on flag varieties of SL\((2, k)\). Zbl 1183.14067
Beun, Stacy L.; Helminck, Aloysius G.
6
2009
Computing \(B\)-orbits on \(G/H\). Zbl 0851.68054
Helminck, A. G.
5
1996
Real double coset spaces and their invariants. Zbl 1176.22007
Helminck, Aloysius G.; Schwarz, Gerald W.
4
2009
The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies. Zbl 1253.37074
Helminck, G. F.; Helminck, A. G.; Opimakh, A. V.
4
2010
Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties. Zbl 0982.20031
Helminck, Aloysius G.
4
2000
Smoothness of quotients associated with a pair of commuting convolutions. Zbl 1099.20020
Helminck, Aloysius G.; Schwarz, Gerald W.
4
2004
On the structure of generalized symmetric spaces of \(\mathrm{SL}_2(\mathbb F_q)\) and \(\mathrm{GL}_2(\mathbb F_q)\). Zbl 1434.20031
Buell, C.; Helminck, A. G.; Klima, Vicky W.; Schaefer, Jennifer B.; Wright, Carmen; Ziliak, E.
3
2017
Algorithms for computing characters for symmetric spaces. Zbl 1132.53030
Gagliardi, Daniel; Helminck, Aloysius G.
3
2007
On groups with a Cartan involution. Zbl 0809.20033
Helminck, A. G.
3
1991
The structure of Hilbert flag varieties. Zbl 0836.22029
Helminck, Gerard F.; Helminck, Aloysius G.
3
1994
Spherical distribution vectors. Zbl 1050.22008
Helminck, Aloysius G.; Helminck, Gerardus F.
3
2002
A conjugacy theorem for symmetric spaces. Zbl 0926.22005
Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G.
3
1999
Algorithms for twisted involutions in Weyl groups. Zbl 1254.20033
Haas, R.; Helminck, A. G.
2
2012
Admissible sequences for twisted involutions in Weyl groups. Zbl 1241.20053
Haas, Ruth; Helminck, Aloysius G.
2
2011
Multiplicity one for representations corresponding to spherical distribution vectors of class \(\rho\). Zbl 1146.22010
Helminck, Aloysius G.; Helminck, Gerardus F.
2
2005
On the orbits of symmetric spaces under the action of parabolic subgroups. Zbl 0694.14025
Helminck, A. G.
2
1989
Algorithms for computations in local symmetric spaces. Zbl 1149.53033
Daniel, Jennifer R.; Helminck, Aloysius G.
2
2008
Holomorphic line bundles over Hilbert flag varieties. Zbl 0837.22012
Helminck, A. G.; Helminck, G. F.
2
1994
Orbits and invariants associated with a pair of spherical varieties: some examples. Zbl 1053.20042
Helminck, Aloysius G.; Schwarz, Gerald W.
2
2002
Hilbert flag varieties and their Kähler structure. Zbl 1088.22012
Helminck, G. F.; Helminck, A. G.
2
2002
Implementing an algorithm for the twisted involution poset for Weyl groups. Zbl 1112.20033
Brenneman, Kathryn; Haas, Ruth; Helminck, Aloysius G.
2
2006
Permutation notations for the exceptional Weyl group \(F_4\). Zbl 1259.20056
Cahn, Patricia; Haas, Ruth; Helminck, Aloysius G.; Li, Juan; Schwartz, Jeremy
2
2012
Isomorphy classes of involutions of \(\mathrm{SP}(2n,k)\), \(n>2\). Zbl 1342.20047
Benim, Robert W.; Helminck, Aloysius G.; Jackson Ward, Farrah
2
2015
Isomorphy classes of involutions of \(\mathrm{SO}(n,k,\beta)\), \(n>2\). Zbl 1351.20027
Benim, Robert W.; Dometrius, Christopher E.; Helminck, Aloysius G.; Wu, Ling
2
2016
Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain. Zbl 1302.37038
Helminck, G. F.; Helminck, A. G.
1
2014
On orbit decompositions for symmetric \(k\)-varieties. Zbl 1244.14038
Helminck, A. G.
1
2010
On generalized Cartan subspaces. Zbl 1235.43010
Helminck, Aloysius G.; Schwarz, Gerald W.
1
2011
Computing the fine structure of real reductive symmetric spaces. Zbl 1130.53036
Daniel, Jennifer R.; Helminck, Aloysius G.
1
2007
On the structure of involutions and symmetric spaces of dihedral groups. Zbl 1336.20025
Cunningham, K. K. A.; Edgar, Tom; Helminck, A. G.; Jones, B. F.; Oh, H.; Schwell, R.; Vasquez, J. F.
1
2014
On the structure of generalized symmetric spaces of \(\operatorname{SL}_n(\mathbb{F}_q)\). Zbl 1434.20032
Buell, C.; Helminck, A.; Klima, Vicky W.; Schaefer, Jennifer B.; Wright, C.; Ziliak, E.
1
2017
On the structure of generalized symmetric spaces of \(\mathrm{SL}_2(\mathbb F_q)\) and \(\mathrm{GL}_2(\mathbb F_q)\). Zbl 1434.20031
Buell, C.; Helminck, A. G.; Klima, Vicky W.; Schaefer, Jennifer B.; Wright, Carmen; Ziliak, E.
3
2017
On the structure of generalized symmetric spaces of \(\operatorname{SL}_n(\mathbb{F}_q)\). Zbl 1434.20032
Buell, C.; Helminck, A.; Klima, Vicky W.; Schaefer, Jennifer B.; Wright, C.; Ziliak, E.
1
2017
Isomorphy classes of involutions of \(\mathrm{SO}(n,k,\beta)\), \(n>2\). Zbl 1351.20027
Benim, Robert W.; Dometrius, Christopher E.; Helminck, Aloysius G.; Wu, Ling
2
2016
Isomorphy classes of involutions of \(\mathrm{SP}(2n,k)\), \(n>2\). Zbl 1342.20047
Benim, Robert W.; Helminck, Aloysius G.; Jackson Ward, Farrah
2
2015
Cauchy problems related to integrable deformations of pseudo differential operators. Zbl 1298.35259
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A.
6
2014
Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain. Zbl 1302.37038
Helminck, G. F.; Helminck, A. G.
1
2014
On the structure of involutions and symmetric spaces of dihedral groups. Zbl 1336.20025
Cunningham, K. K. A.; Edgar, Tom; Helminck, A. G.; Jones, B. F.; Oh, H.; Schwell, R.; Vasquez, J. F.
1
2014
Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective. Zbl 1352.17030
Helminck, G. F.; Helminck, A. G.; Panasenko, E. A.
16
2013
Algorithms for twisted involutions in Weyl groups. Zbl 1254.20033
Haas, R.; Helminck, A. G.
2
2012
Permutation notations for the exceptional Weyl group \(F_4\). Zbl 1259.20056
Cahn, Patricia; Haas, Ruth; Helminck, Aloysius G.; Li, Juan; Schwartz, Jeremy
2
2012
Admissible sequences for twisted involutions in Weyl groups. Zbl 1241.20053
Haas, Ruth; Helminck, Aloysius G.
2
2011
On generalized Cartan subspaces. Zbl 1235.43010
Helminck, Aloysius G.; Schwarz, Gerald W.
1
2011
The relative frame bundle of an infinite-dimensional flag variety and solutions of integrable hierarchies. Zbl 1253.37074
Helminck, G. F.; Helminck, A. G.; Opimakh, A. V.
4
2010
On orbit decompositions for symmetric \(k\)-varieties. Zbl 1244.14038
Helminck, A. G.
1
2010
On the classification of orbits of symmetric subgroups acting on flag varieties of SL\((2, k)\). Zbl 1183.14067
Beun, Stacy L.; Helminck, Aloysius G.
6
2009
Real double coset spaces and their invariants. Zbl 1176.22007
Helminck, Aloysius G.; Schwarz, Gerald W.
4
2009
Algorithms for computations in local symmetric spaces. Zbl 1149.53033
Daniel, Jennifer R.; Helminck, Aloysius G.
2
2008
Algorithms for computing characters for symmetric spaces. Zbl 1132.53030
Gagliardi, Daniel; Helminck, Aloysius G.
3
2007
Computing the fine structure of real reductive symmetric spaces. Zbl 1130.53036
Daniel, Jennifer R.; Helminck, Aloysius G.
1
2007
Involutions of \(\text{SL}(n,k)\), (\(n>2\)). Zbl 1100.14040
Helminck, Aloysius G.; Wu, Ling; Dometrius, Christopher E.
13
2006
Implementing an algorithm for the twisted involution poset for Weyl groups. Zbl 1112.20033
Brenneman, Kathryn; Haas, Ruth; Helminck, Aloysius G.
2
2006
Multiplicity one for representations corresponding to spherical distribution vectors of class \(\rho\). Zbl 1146.22010
Helminck, Aloysius G.; Helminck, Gerardus F.
2
2005
Combinatorics related to orbit closures of symmetric subgroups in flag varieties. Zbl 1067.14050
Helminck, Aloysius G.
7
2004
Smoothness of quotients associated with a pair of commuting convolutions. Zbl 1099.20020
Helminck, Aloysius G.; Schwarz, Gerald W.
4
2004
Classification of involutions of \(\text{SL}(2,k)\). Zbl 1001.20044
Helminck, Aloysius G.; Wu, Ling
15
2002
Spherical distribution vectors. Zbl 1050.22008
Helminck, Aloysius G.; Helminck, Gerardus F.
3
2002
Orbits and invariants associated with a pair of spherical varieties: some examples. Zbl 1053.20042
Helminck, Aloysius G.; Schwarz, Gerald W.
2
2002
Hilbert flag varieties and their Kähler structure. Zbl 1088.22012
Helminck, G. F.; Helminck, A. G.
2
2002
Orbits and invariants associated with a pair of commuting involutions. Zbl 1015.20031
Helminck, Aloysius G.; Schwarz, Gerald W.
12
2001
On the classification of \(k\)-involutions. Zbl 0974.20033
Helminck, A. G.
18
2000
On orbit closures of symmetric subgroups in flag varieties. Zbl 0972.14039
Brion, Michel; Helminck, Aloysius G.
18
2000
Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties. Zbl 0982.20031
Helminck, Aloysius G.
4
2000
A conjugacy theorem for symmetric spaces. Zbl 0926.22005
Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G.
3
1999
A class of parabolic \(k\)-subgroups associated with symmetric \(k\)-varieties. Zbl 0912.20041
Helminck, A. G.; Helminck, G. F.
18
1998
Tori invariant under an involutorial automorphism. II. Zbl 0911.20034
Helminck, A. G.
12
1997
Computing \(B\)-orbits on \(G/H\). Zbl 0851.68054
Helminck, A. G.
5
1996
Symmetric \(k\)-varieties. Zbl 0819.20048
Helminck, A. G.
7
1994
The structure of Hilbert flag varieties. Zbl 0836.22029
Helminck, Gerard F.; Helminck, Aloysius G.
3
1994
Holomorphic line bundles over Hilbert flag varieties. Zbl 0837.22012
Helminck, A. G.; Helminck, G. F.
2
1994
On rationality properties of involutions of reductive groups. Zbl 0788.22022
Helminck, A. G.; Wang, S. P.
65
1993
Tori invariant under an involutorial automorphism. I. Zbl 0731.20029
Helminck, A. G.
12
1991
On groups with a Cartan involution. Zbl 0809.20033
Helminck, A. G.
3
1991
On the orbits of symmetric spaces under the action of parabolic subgroups. Zbl 0694.14025
Helminck, A. G.
2
1989
Trilinear alternating forms on a vector space of dimension 7. Zbl 0646.15019
Cohen, Arjeh M.; Helminck, Aloysius G.
36
1988
Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces. Zbl 0685.22007
Helminck, Aloysius G.
35
1988
all top 5

Cited by 185 Authors

27 Helminck, Aloysius G.
15 Helminck, Gerardus Franciscus
9 Panasenko, Elena Aleksandrovna
7 De Bruyn, Bart
7 Offen, Omer
6 Kwiatkowski, Mariusz
4 Buell, Catherine A.
4 Delorme, Patrick
4 Hora, Jan
4 Hutchens, John
4 Klima, Vicky W.
4 Schaefer, Jennifer B.
4 Smith, Jerrod Manford
4 Wright, Carmen
4 Ziliak, Ellen
3 Can, Mahir Bilen
3 Chuah, Meng-Kiat
3 Matringe, Nadir
3 Midoune, Noureddine
3 Opimakh, A. V.
3 Polenkova, Svetlana V.
3 Schwartz, Nathaniel J.
3 Schwarz, Gerald Walter
3 Shaw, Ron
2 Baba, Kurando
2 Beuzart-Plessis, Raphaël
2 Borovoi, Mikhail V.
2 Cardinali, Ilaria
2 Chiaselotti, Giampiero
2 Ciobotaru, Corina
2 Colarusso, Mark
2 Daniel, Jennifer Renee
2 Draisma, Jan
2 Evens, Sam
2 Geatti, Laura
2 Giuzzi, Luca
2 Glazebrook, James F.
2 Haas, Ruth
2 Helminck, Gerard Frantsisk
2 Hodge, Terrell L.
2 Huang, Jing-Song
2 Hunnell, Mark
2 Ikawa, Osamu
2 Kato, Shin-ichi
2 Köhl, Ralf
2 Lagier, Nathalie
2 Lê Hông Vân
2 Murnaghan, Fiona
2 Nishiyama, Kyo
2 Noui, Lemnouar
2 Oliverio, Paolo Antonio
2 Omar, M. Rafiq
2 Panyushev, Dmitri Ivanovich
2 Poberezhny, V. A.
2 Pudlák, Pavel
2 Rakdi, Mohamed Anouar
2 Sasaki, Atsumu
2 Sato, Fumihiro
2 Słowik, Roksana
2 Takano, Keiji
2 Wu, Ling
1 Adams, Jeffrey David
1 Aizenbud, Avraham
1 Allocca, Michael P.
1 Aschbacher, Michael George
1 Barbasch, Dan M.
1 Benito, Pilar
1 Benoist, Yves
1 Bermudez, Hernando
1 Beun, Stacy L.
1 Bisi, Cinzia
1 Blanc, Philippe
1 Bocheński, Maciej Franciszek
1 Broussous, Paul
1 Brown, Ronald
1 Brumley, Farrell
1 Carmona, Jacques
1 Carnovale, Giovanna
1 Chen, Tsao-Hsien
1 Chenevier, Gaëtan
1 Chommaux, Marion
1 Cohen, Arjeh Marcel
1 Collins, Joseph B.
1 Cuypers, Hans
1 De Commer, Kenny
1 de Graaf, Willem Adriaan
1 Dometrius, Christopher E.
1 Draper, Cristina
1 Dung Hoang Duong
1 Dupré, Maurice J.
1 Feigon, Brooke
1 Fresse, Lucas
1 Gagliardi, Daniel
1 Galetto, Federico
1 Garibaldi, Skip
1 Ghani, Neil
1 Glazer, Itay
1 Gorodski, Claudio
1 Graczyk, Piotr
1 Graham, Jason M.
...and 85 more Authors
all top 5

Cited in 71 Serials

15 Communications in Algebra
12 Journal of Algebra
10 Linear Algebra and its Applications
9 Advances in Mathematics
7 Theoretical and Mathematical Physics
7 Journal of Geometry and Physics
5 Mathematische Zeitschrift
5 Transactions of the American Mathematical Society
5 Acta Applicandae Mathematicae
5 Transformation Groups
4 Journal of Functional Analysis
4 Journal of Number Theory
4 Journal of Symbolic Computation
3 Linear and Multilinear Algebra
3 Annales de l’Institut Fourier
3 Compositio Mathematica
3 Differential Geometry and its Applications
3 Journal of Algebra and its Applications
2 Duke Mathematical Journal
2 Journal of Combinatorial Theory. Series A
2 Journal of Geometry
2 Journal of Pure and Applied Algebra
2 Mathematische Annalen
2 Algebra Colloquium
2 Representation Theory
2 Vestnik Rossiĭskikh Universitetov. Matematika
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Journal of Mathematical Physics
1 Reports on Mathematical Physics
1 Beiträge zur Algebra und Geometrie
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Geometriae Dedicata
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Tôhoku Mathematical Journal. Second Series
1 Transactions of the Moscow Mathematical Society
1 Note di Matematica
1 International Journal of Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Finite Fields and their Applications
1 Documenta Mathematica
1 ELA. The Electronic Journal of Linear Algebra
1 Journal of Group Theory
1 Algebras and Representation Theory
1 Communications in Contemporary Mathematics
1 Advances in Geometry
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Number Theory
1 Chebyshevskiĭ Sbornik
1 Complex Analysis and Operator Theory
1 Advances in Mathematical Physics
1 Kyoto Journal of Mathematics
1 International Journal of Group Theory
1 Carpathian Mathematical Publications
1 ISRN Combinatorics

Citations by Year