Found 229 Documents (Results 1–100)
Iwahori-Hecke algebras acting on tensor space by \(q\)-deformed letter permutations and \(q\)-partition algebras. (English) Zbl 07905969
The 3-cyclic quantum Weyl algebras, their prime spectra and a classification of simple modules (\(q\) is not a root of unity). (English) Zbl 07902537
Quantized Weyl algebras, the double centralizer property, and a new first fundamental theorem for \(U_q(\mathfrak{gl}_n)\). (English) Zbl 07872281
Reviewer: Mee Seong Im (Annapolis)
Filtered deformations of commutative algebras of Krull dimension two. (English) Zbl 07846276
Reviewer: Aleksandr G. Aleksandrov (Moskva)
Lie centralizers and commutant preserving maps on generalized matrix algebras. (English) Zbl 07797233
Reviewer: Wu Jing (Fayetteville)
A mixing property for the action of \(\mathrm{SL}(3,\mathbb{Z})\times\mathrm{SL}(3,\mathbb{Z})\) on the Stone-Čech boundary of \(\mathrm{SL}(3,\mathbb{Z})\). (English) Zbl 07795382
Centralizers of linear and locally nilpotent derivations. (English. Ukrainian original) Zbl 1541.17009
Ukr. Math. J. 75, No. 8, 1190-1202 (2024); translation from Ukr. Mat. Zh. 75, No. 8, 1043-1052 (2023).
On Lie derivations, generalized Lie derivations and Lie centralizers of octonion algebras. (English) Zbl 07860382
Remarks on Yangian-type algebras and double Poisson brackets. (English. Russian original) Zbl 07830230
Funct. Anal. Appl. 57, No. 4, 326-336 (2023); translation from Funkts. Anal. Prilozh. 57, No. 4, 75-88 (2023).
Lie centralizers and generalized Lie derivations on prime rings by local actions. (English) Zbl 1537.16044
Reviewer: Giovanni Scudo (Messina)
Characterization of Jordan two-sided centralizers and related maps on triangular rings. (English) Zbl 1529.16039
On a functional equation characterizing two-sided centralizers in prime rings. (English) Zbl 1538.16026
Reviewer: Plamen Koshlukov (Campinas)
Lie triple centralizers on generalized matrix algebras. (English) Zbl 07681681
Reviewer: Hafedh Alnoghashi (Amran)
Linear Lie centralizers of the algebra of dominant block upper triangular matrices. (English) Zbl 1512.16037
Centralizers of Lie structure of triangular algebras. (English) Zbl 1517.16039
Reviewer: Wu Jing (Fayetteville)
Lie (Jordan) centralizers on alternative algebras. (English) Zbl 1511.17070
Reviewer: Alberto Elduque (Zaragoza)
A characterization of Jordan left \(^\ast\)-centralizers via skew Lie and Jordan products. (English) Zbl 1517.16034
Reviewer: Mehsin Atteya (Leicester)
Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series. (English) Zbl 1504.17017
Reviewer: Volodymyr Mazorchuk (Uppsala)
On certain functional equation in prime rings. (English) Zbl 1517.16024
Reviewer: Allan Berele (Chicago)
A note on the centralizer of a subalgebra of the Steinberg algebra. (English) Zbl 1487.18002
St. Petersbg. Math. J. 33, No. 1, 179-184 (2022) and Algebra Anal. 33, No. 1, 246-253 (2021).
Reviewer: Thomas Huettemann (Belfast)
Centralizers of elements in Lie algebras of vector fields with polynomial coefficients. (English) Zbl 1497.17033
Reviewer: Oleksandr Iena (München)
MSC:
17B66
Linear Lie centralizers of the algebra of strictly block upper triangular matrices. (English) Zbl 1482.15014
Reviewer: John D. Dixon (Ottawa)
On \(n^{th}\) power *-property in *-rings with applications. (English) Zbl 1496.16039
Reviewer: Mehsin Atteya (Leicester)
Lie maps on triangular algebras without assuming unity. (English) Zbl 1484.16048
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
Local properties of Jacobson-Witt algebras. (English) Zbl 1482.17045
Reviewer: Liangyun Chen (Changchun)
Lie properties in associative algebras. (English) Zbl 1492.16026
Reviewer: Sorin Dascalescu (Bucureşti)
More on the generalized \((m,n)\)-Jordan derivations and centralizers on certain semiprime rings. (English) Zbl 1467.16021
Reviewer: Puguh Wahyu Prasetyo (Yogyakarta)
Double centralizer properties related to (co)triangular Hopf coquasigroups. (English) Zbl 1458.16037
Reviewer: J. N. Alonso Alvarez (Vigo)
Lie (Jordan) centralizers on generalized matrix algebras. (English) Zbl 1464.16040
Reviewer: Mehsin Atteya (Leicester)
Two boundary centralizer algebras for \(\mathfrak{q}(n)\). (English) Zbl 1459.17033
Reviewer: Li Luo (Shanghai)
The centralizer of sl(0,3)in the generalized Witt Lie superalgebra over fields of prime characteristic. (Chinese. English summary) Zbl 1463.17026
Some results concerning multiplicative (generalized)-derivations and multiplicative left centralizers. (English) Zbl 1482.16071
Bannai-Ito algebras and the universal \(R\)-matrix of \(\mathfrak{osp}(1\!\!\mid\!\!2)\). (English) Zbl 1472.16030
Reviewer: Yang Shilin (Beijing)
Centralizers of the superalgebra \(\mathfrak{osp}(1|2)\): the Brauer algebra as a quotient of the Bannai-Ito algebra. (English) Zbl 1509.17006
Non-additive Lie centralizer of infinite strictly upper triangular matrices. (English) Zbl 1449.16054
On the stability of left \(\delta \)-centralizers on Banach Lie triple systems. (English) Zbl 1472.17015
The prime ideals and simple weight modules of the algebra \(U(\mathfrak{b}\ltimes V_3)\). (English) Zbl 1455.17006
Leroy, André (ed.) et al., Rings, modules and codes. Fifth international conference on noncommutative rings and their applications, University of Artois, Lens, France, June 12–15, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 727, 49-70 (2019).
Nonlinear \( (m,n)\)-Lie centralizers on triangular algebras. (Chinese. English summary) Zbl 1438.16042
On functional equation related to \((m, n)\)-Jordan centralizers in prime rings. (English) Zbl 1505.16057
Open questions concerning antiautomorphisms of division rings with quasi-generalized Engel conditions. (English) Zbl 1436.16027
Reviewer: Adam Chapman (Tel Hai)
On groups covered by finitely many centralizers and domination number of the commuting graphs. (English) Zbl 1480.20065
Centralizers and Jordan triple derivations of semiprime rings. (English) Zbl 1453.16044
Reviewer: Mehsin Atteya (Leicester)
The universal enveloping algebra of the Schrödinger algebra and its prime spectrum. (English) Zbl 1472.17023
The prime spectrum of the algebra \(\mathbb{K}_q[X,Y] \rtimes U_q(\mathfrak{sl}_2)\) and a classification of simple weight modules. (English) Zbl 1408.17003
Reviewer: Victor Petrogradsky (Brasilia)
A characterization of additive mappings in rings with involution. (English) Zbl 1402.16020
Ashraf, Mohammad (ed.) et al., Algebra and its applications. Proceedings of the international conference held at Aligarh Muslim University, Aligarh, India, November 12–14, 2016. Berlin: De Gruyter (ISBN 978-3-11-054092-5/hbk; 978-3-11-054240-0/ebook). De Gruyter Proceedings in Mathematics, 11-24 (2018).
Centralizers in Lie algebras. (English) Zbl 1433.17023
Centralizer of Reeb vector field in contact Lie groups. (English) Zbl 1403.22008
Reviewer: Andrzej Szczepański (Gdańsk)
A note on Lie centralizer maps. (English) Zbl 06921366
Commuting anti-homomorphisms. (English) Zbl 1430.16020
Characterizing Jordan maps on triangular rings through commutative zero products. (English) Zbl 1391.16049
The universal enveloping algebra \(U(\mathfrak{sl}_2\ltimes V_2)\), its prime spectrum and a classification of its simple weight modules. (English) Zbl 1396.17011
On generalized derivations and centralizers of operator algebras with involution. (English) Zbl 06864930
J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 1, 27-33 (2018) and Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 1, 3-12 (2018).
Characterization of some derivations on von Neumann algebras via left centralizers. (English) Zbl 1466.47026
Cross products, invariants, and centralizers. (English) Zbl 1428.20041
Reviewer: Christopher P. Bendel (Menomonie)
Generalized skew derivations with centralizer conditions on multilinear polynomials. (English) Zbl 1441.16021
Results on \(\alpha-^*\) centralizers of prime and semiprime rings with involution. (English) Zbl 1390.16038
Centralizers of nilpotent elements and related problems, a survey. (English) Zbl 1430.17033
Callegaro, Filippo (ed.) et al., Perspectives in Lie theory. Selected papers based on the presentations at the INdAM intensive research period, Pisa, Italy, December 2014 – February 2015. Cham: Springer. Springer INdAM Ser. 19, 331-346 (2017).
Lie algebras with abelian centralizers. (English. Russian original) Zbl 1427.17007
Math. Notes 101, No. 5, 795-801 (2017); translation from Mat. Zametki 101, No. 5, 690-699 (2017).
Graded simple modules and loop modules. (English) Zbl 1370.16040
Bergen, Jeffrey (ed.) et al., Groups, rings, group rings, and Hopf algebras. International conference, Loyola University, Chicago, IL, USA, October 2–4, 2015 and AMS special session, Loyola University, Chicago, IL, USA, October 3–4, 2015. Held in honor of Donald S. Passman’s 75th birthday. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2805-1/pbk; 978-1-4704-4042-8/ebook). Contemporary Mathematics 688, 53-85 (2017).
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