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Benkart, Georgia McClure (b. 1949 d. 2022)

Author ID: benkart.georgia-m Recent zbMATH articles by "Benkart, Georgia McClure"
Published as: Benkart, Georgia; Benkart, Georgia M.; Benkart, G. M.; Benkart, Giorgia; Benkart, G.
External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef
all top 5

Co-Authors

18 single-authored
20 Osborn, James Marshall
13 Kang, Seok-Jin
8 Elduque, Alberto
7 Halverson, Thomas
6 Britten, Daniel J.
6 Moon, Dongho
6 Witherspoon, Sarah J.
5 Misra, Kailash C.
4 Gregory, Thomas B.
4 Isaacs, I. Martin
4 Ondrus, Matthew
4 Stroomer, Jeffrey D.
4 Terwilliger, Paul M.
3 Allison, Bruce N.
3 Kuznetsov, Michael I.
3 Lee Shader, Chanyoung
3 Lee, Hyeonmi
3 Lemire, Frank W.
3 Lopes, Samuel A.
2 Bahturin, Yuri
2 Bekkert, Viktor
2 Biswal, Rekha
2 Colmenarejo, Laura
2 Futorny, Vyacheslav M.
2 Gao, Yun
2 Harris, Pamela E.
2 Kirkman, Ellen E.
2 Kostrikin, Alekseĭ Ivanovich
2 Orellana, Rosa C.
2 Panova, Greta
2 Pérez-Izquierdo, José María
2 Shin, Dong-Uy
2 Strade, Helmut
2 Yip, Martha
2 Zel’manov, Efim Isaakovich
2 Zhu, Jieru
1 Araujo, Carolina
1 Barnes, Jeffrey M.
1 Chakrabarti, Manish
1 Cho, Soojin
1 Diaconis, Persi Warren
1 Džamonja, Mirna
1 Eng, Oliver D.
1 Feldvoss, Jörg
1 Fernández López, Antonio
1 Fleissner, William G.
1 Frenkel, Igor B.
1 Gaglione, Anthony M.
1 Gray, Mary Wheat
1 Guay, Nicolas
1 Harman, Nate
1 Jantzen, Jens Carsten
1 Joyner, David
1 Juhász, István
1 Jung, Ji Hye
1 Kaplansky, Irving
1 Kashiwara, Masaki
1 Kashuba, Iryna
1 Kass, Steven N.
1 Kidwell, Mark Elliot
1 Klivans, Caroline Jane
1 Kunen, Kenneth
1 Labra, Alicia
1 Lauter, Kristin Estella
1 Leduc, Robert
1 Lee, Kyu-Hwan
1 Legget, Anne
1 Liebeck, Martin Walter
1 Lin, Zongzhu
1 Madariaga, Sara
1 Martínez López, Consuelo
1 Maycock, Ellen J.
1 McCrimmon, Kevin
1 Meinel, Joanna
1 Melville, Duncan James
1 Meyerson, Mark D.
1 Miller, Arnold W.
1 Moody, Robert Vaughan
1 Nakano, Daniel K.
1 Neher, Erhard
1 Nyikos, Peter J.
1 Oh, Se-jin
1 Park, Euiyong
1 Parshall, Brian J.
1 Pereira, Mariana
1 Praeger, Cheryl Elisabeth
1 Premet, Alexander A.
1 Ram, Arun
1 Reiner, Victor
1 Roby, Tom
1 Roitman, Judith
1 Rothschild, Linda Preiss
1 Saltman, David J.
1 Schilling, Anna-Sofie
1 Schilling, Anne
1 Seligman, George B.
1 Smirnov, Oleg N.
1 Sottile, Frank
1 Spellman, Dennis
1 Srinivasan, Bhama
...and 11 more Co-Authors
all top 5

Serials

19 Journal of Algebra
8 Transactions of the American Mathematical Society
5 Communications in Algebra
5 Hadronic Journal
5 Mathematische Zeitschrift
4 Canadian Journal of Mathematics
4 Proceedings of the American Mathematical Society
4 Notices of the American Mathematical Society
3 Advances in Mathematics
3 Journal of Pure and Applied Algebra
3 Memoirs of the American Mathematical Society
3 Journal of Lie Theory
2 Compositio Mathematica
2 Journal of Combinatorial Theory. Series A
2 Mathematische Annalen
2 Pacific Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 IMRN. International Mathematics Research Notices
2 Algebras, Groups and Geometries
2 Journal of Algebraic Combinatorics
2 The Electronic Journal of Combinatorics
2 The Quarterly Journal of Mathematics
2 Contemporary Mathematics
1 American Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Journal of the American Mathematical Society
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Selecta Mathematica. New Series
1 Nova Journal of Algebra and Geometry
1 Séminaire Lotharingien de Combinatoire
1 Representation Theory
1 Algebras and Representation Theory
1 Annals of Combinatorics
1 Annals of Mathematics. Second Series
1 JP Journal of Algebra, Number Theory and Applications
1 Lecture Notes in Mathematics
1 Association for Women in Mathematics Series

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 1,521 times in 1,084 Documents Cited by Year
Down-up algebras. Zbl 0922.17006
Benkart, Georgia; Roby, Tom
82
1998
Lie algebras graded by finite root systems and intersection matrix algebras. Zbl 0871.17024
Benkart, Georgia; Zelmanov, Efim
60
1996
Tensor product representations of general linear groups and their connections with Brauer algebras. Zbl 0815.20028
Benkart, Georgia; Chakrabarti, Manish; Halverson, Thomas; Leduc, Robert; Lee, Chanyoung; Stroomer, Jeffrey
59
1994
Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki
55
2000
Whittaker modules for generalized Weyl algebras. Zbl 1251.16020
Benkart, Georgia; Ondrus, Matthew
43
2009
Two-parameter quantum groups and Drinfel’d doubles. Zbl 1113.16041
Benkart, Georgia; Witherspoon, Sarah
43
2004
Tableau switching: Algorithms and applications. Zbl 0858.05099
Benkart, Georgia; Sottile, Frank; Stroomer, Jeffrey
37
1996
On inner ideals and ad-nilpotent elements of Lie algebras. Zbl 0373.17003
Benkart, Georgia
35
1977
Modules with bounded weight multiplicities for simple Lie algebras. Zbl 0884.17004
Benkart, Georgia; Britten, Daniel; Lemire, Frank
31
1997
Representations of two-parameter quantum groups and Schur-Weyl duality. Zbl 1048.16021
Benkart, Georgia; Witherspoon, Sarah
30
2004
The centroid of extended affine and root graded Lie algebras. Zbl 1163.17306
Benkart, Georgia; Neher, Erhard
29
2006
Central extensions of Lie algebras graded by finite root systems. Zbl 0989.17004
Allison, Bruce; Benkart, Georgia; Gao, Yun
27
2000
Tensor product representations for orthosymplectic Lie superalgebras. Zbl 0932.17008
Benkart, Georgia; Lee Shader, Chanyoung; Ram, Arun
26
1998
Quantized enveloping algebras for Borcherds superalgebras. Zbl 0913.17008
Benkart, Georgia; Kang, Seok-Jin; Melville, Duncan
25
1998
The universal central extension of the three-point \(\mathfrak{sl}_2\) loop algebra. Zbl 1153.17008
Benkart, Georgia; Terwilliger, Paul
24
2007
The derivation algebra of a real division algebra. Zbl 0474.17002
Benkart, Georgia M.; Osborn, J. Marshall
24
1981
Finite-dimensional simple Lie algebras with a nonsingular derivation. Zbl 0815.17018
Benkart, Georgia; Kostrikin, Alexei I.; Kuznetsov, Michael I.
23
1995
The Lie inner ideal structure of associative rings. Zbl 0342.16009
Benkart, Georgia
23
1976
An investigation of real division algebras using derivations. Zbl 0474.17003
Benkart, Georgia M.; Osborn, J. Marshall
23
1981
Restricted two-parameter quantum groups. Zbl 1048.16020
Benkart, Georgia; Witherspoon, Sarah
23
2004
Derivations, central extensions, and affine Lie algebras. Zbl 0619.17014
Benkart, G. M.; Moody, R. V.
23
1986
Irreducible modules for the quantum affine algebra \(U_{q}(\mathfrak {\widehat{sl}_2})\) and its Borel subalgebra. Zbl 1106.17014
Benkart, Georgia; Terwilliger, Paul
23
2004
Motzkin algebras. Zbl 1284.05333
Benkart, Georgia; Halverson, Tom
23
2014
A Hopf structure for down-up algebras. Zbl 1006.16028
Benkart, Georgia; Witherspoon, Sarah
22
2001
Graded Lie algebras of Kac-Moody type. Zbl 0854.17026
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
22
1993
Level 1 perfect crystals and path realizations of basic representations at \(q=0\). Zbl 1149.17016
Benkart, Georgia; Frenkel, Igor; Kang, Seokjin; Lee, Hyeonmi
19
2006
Real flexible division algebras. Zbl 0469.17001
Benkart, Georgia M.; Britten, Daniel J.; Osborn, J. Marshall
19
1982
Derivations and automorphisms of nonassociative matrix algebras. Zbl 0453.16020
Benkart, G. M.; Osborn, J. M.
19
1981
The equitable basis for \({\mathfrak{sl}_2}\). Zbl 1277.17013
Benkart, Georgia; Terwilliger, Paul
18
2011
New irreducible modules for Heisenberg and affine Lie algebras. Zbl 1306.17009
Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav; Kashuba, Iryna
18
2013
Flexible Lie-admissible algebras. Zbl 0467.17001
Benkart, Georgia M.; Osborn, J. Marshall
17
1981
Weight modules for Weyl algebras. Zbl 1057.16021
Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav
17
2004
The Recognition Theorem for graded Lie algebras in prime characteristic. Zbl 1167.17004
Benkart, Georgia; Gregory, Thomas; Premet, Alexander
17
2009
Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups. Zbl 1368.05156
Benkart, Georgia; Halverson, Tom; Harman, Nate
17
2017
Down-up algebras and Witten’s deformations of the universal enveloping algebra of \({\mathfrak sl}_2\). Zbl 0922.17007
Benkart, Georgia
16
1999
Lie algebras graded by the root system \(BC_1\). Zbl 1015.17028
Benkart, Georgia; Smirnov, Oleg
16
2003
Lie algebras graded by the root systems \(BC_r\), \(r\geq 2\). Zbl 0998.17031
Allison, Bruce; Benkart, Georgia; Gao, Yun
16
2002
Rank one Lie algebras. Zbl 0563.17011
Benkart, Georgia M.; Osborn, J. Marshall
14
1984
Stability in modules for classical Lie algebras - A constructive approach. Zbl 0706.17003
Benkart, G. M.; Britten, D. J.; Lemire, F. W.
14
1990
Lie algebras with self-centralizing ad-nilpotent elements. Zbl 0402.17013
Benkart, G. M.; Isaacs, I. M.; Osborn, J. M.
14
1979
Partition algebras \(\mathsf {P}_k(n)\) with \(2k>n\) and the fundamental theorems of invariant theory for the symmetric group \(\mathsf {S}_n\). Zbl 1411.05274
Benkart, Georgia; Halverson, Tom
14
2019
Partition algebras and the invariant theory of the symmetric group. Zbl 1421.05094
Benkart, Georgia; Halverson, Tom
14
2019
Chip firing on Dynkin diagrams and McKay quivers. Zbl 1448.17015
Benkart, Georgia; Klivans, Caroline; Reiner, Victor
13
2018
Power-associative Lie-admissible algebras. Zbl 0542.17012
Benkart, Georgia M.
12
1984
Derivations and invariant forms of Lie algebras graded by finite root systems. Zbl 0913.17015
Benkart, Georgia
12
1998
A parametric family of subalgebras of the Weyl algebra. I: Structure and automorphisms. Zbl 1312.16020
Benkart, Georgia; Lopes, Samuel A.; Ondrus, Matthew
12
2015
Hopf algebras with triality. Zbl 1278.16032
Benkart, Georgia; Madariaga, Sara; Pérez-Izquierdo, José M.
12
2013
A new construction of the Kac Jordan superalgebra. Zbl 1083.17014
Benkart, Georgia; Elduque, Alberto
11
2002
On the centre of two-parameter quantum groups. Zbl 1106.17013
Benkart, Georgia; Kang, Seok-Jin; Lee, Kyu-Hwan
11
2006
Cartan subalgebras in Lie algebras of Cartan type. Zbl 0581.17006
Benkart, Georgia
11
1986
Construction of irreducible representations over Khovanov-Lauda-Rouquier algebras of finite classical type. Zbl 1355.17009
Benkart, Georgia; Kang, Seok-Jin; Oh, Se-Jin; Park, Euiyong
11
2014
Derivations of a parametric family of subalgebras of the Weyl algebra. Zbl 1312.16019
Benkart, Georgia; Lopes, Samuel A.; Ondrus, Matthew
11
2015
Graded Lie algebras with classical reductive null component. Zbl 0648.17005
Benkart, Georgia; Gregory, Thomas
10
1989
Principal ideals and associate rings. Zbl 1046.13004
Spellman, Dennis; Benkart, Georgia M.; Gaglione, Anthony M.; Joyner, W. David; Kidwell, Mark E.; Meyerson, Mark D.; Wardlaw, William P.
10
2002
Albert-Zassenhaus Lie algebras and isomorphisms. Zbl 0402.17014
Benkart, G. M.; Isaacs, I. M.; Osborn, J. M.
10
1979
A minimaj-preserving crystal on ordered multiset partitions. Zbl 1379.05015
Benkart, Georgia; Colmenarejo, Laura; Harris, Pamela E.; Orellana, Rosa; Panova, Greta; Schilling, Anne; Yip, Martha
10
2018
The Lie inner ideal structure of associative rings revisited. Zbl 1210.16038
Benkart, Georgia; Fernández López, Antonio
9
2009
On the existence of ad-nilpotent elements. Zbl 0359.17008
Benkart, G. M.; Isaacs, I. M.
9
1977
Lie superalgebras graded by the root system \(B(m,n)\). Zbl 1040.17027
Benkart, Georgia; Elduque, Alberto
9
2003
A parametric family of subalgebras of the Weyl algebra. II: Irreducible modules. Zbl 1308.16022
Benkart, Georgia; Lopes, Samuel A.; Ondrus, Matthew
9
2013
Highest weight modules for locally finite Lie algebras. Zbl 0920.17011
Bakhturin, Yuri; Benkart, Georgia
8
1997
Quantum walled Brauer-Clifford superalgebras. Zbl 1342.17002
Benkart, Georgia; Guay, Nicolas; Jung, Ji Hye; Kang, Seok-Jin; Wilcox, Stewart
8
2016
Toral rank one Lie algebras. Zbl 0644.17009
Benkart, Georgia; Osborn, J. Marshall
7
1988
Yetter-Drinfeld modules under cocycle twists. Zbl 1223.16011
Benkart, Georgia; Pereira, Mariana; Witherspoon, Sarah
7
2010
Lie superalgebras graded by the root systems \(C(n)\), \(D(m,n)\), \(D(2,1;\alpha)\), \(F(4)\), \(G(3)\). Zbl 1040.17026
Benkart, Georgia; Elduque, Alberto
7
2002
Derangements and tensor powers of adjoint modules for \(\mathfrak{sl}_n\). Zbl 1018.17003
Benkart, Georgia; Doty, Stephen
7
2002
Some constructions in the theory of locally finite simple Lie algebras. Zbl 1138.17311
Bahturin, Yuri; Benkart, Georgia
7
2004
Lie algebras with nilpotent centralizers. Zbl 0373.17004
Benkart, G. M.; Isaacs, I. M.
7
1979
Contributions to the classification of simple modular Lie algebras. Zbl 0792.17016
Benkart, Georgia; Osborn, J. Marshall; Strade, Helmut
7
1994
Lie superalgebras graded by the root system \(A(m,n)\). Zbl 1030.17029
Benkart, Giorgia; Elduque, Alberto
7
2003
Power-associative products on matrices. Zbl 0507.17008
Benkart, Georgia M.; Osborn, J. Marshall
6
1982
Indefinite Kac-Moody algebras of special linear type. Zbl 0857.17020
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
6
1995
Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebra \(so(2r+1,\mathbb{C})\). Zbl 0747.17006
Benkart, Georgia; Stroomer, Jeffrey
6
1991
Real division algebras and other algebras motivated by physics. Zbl 0456.17005
Benkart, Georgia; Osborn, J. Marshall
6
1981
Indefinite Kac-Moody algebras of classical type. Zbl 0824.17025
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
6
1994
McKay centralizer algebras. Zbl 1332.05147
Barnes, Jeffrey M.; Benkart, Georgia; Halverson, Tom
6
2016
The simple graded Lie algebras of characteristic three with classical reductive component \(L_ 0\). Zbl 0846.17022
Benkart, Georgia; Kostrikin, Alexei I.; Kuznetsov, Michael I.
5
1996
The Tits construction and the exceptional simple classical Lie superalgebras. Zbl 1045.17002
Benkart, Georgia; Elduque, Alberto
5
2003
Poincaré series for tensor invariants and the McKay correspondence. Zbl 1342.14030
Benkart, Georgia
5
2016
Tensor product Markov chains. Zbl 1467.60054
Benkart, Georgia; Diaconis, Persi; Liebeck, Martin W.; Tiep, Pham Huu
5
2020
Representations of rank one Lie algebras of characteristic p. Zbl 0491.17003
Benkart, Georgia M.; Osborn, J. Marshall
4
1982
A quantum octonion algebra. Zbl 0931.17011
Benkart, Georgia; Pérez-Izquierdo, José M.
4
2000
Tensor product representations of Temperley-Lieb algebras and Chebyshev polynomials. Zbl 1179.17009
Benkart, Georgia; Moon, Dongho
4
2005
\(A(n,n)\)-graded Lie superalgebras. Zbl 1059.17017
Benkart, Georgia; Elduque, Alberto; Martínez, Consuelo
4
2004
Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009
Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming
4
2006
The center of the affine nilTemperley-Lieb algebra. Zbl 1415.20006
Benkart, Georgia; Meinel, Joanna
4
2016
Connecting the McKay correspondence and Schur-Weyl duality. Zbl 1373.14017
Benkart, Georgia
4
2014
Lie algebras with prescribed \(\mathfrak{sl}_{3}\) decomposition. Zbl 1329.17021
Benkart, Georgia; Elduque, Alberto
4
2012
The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras. Zbl 0948.17011
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Shin, Dong-Uy
3
1999
Simple modular Lie algebras with 1-sections that are classical or solvable. Zbl 0723.17019
Benkart, Georgia
3
1990
On applications of isotopy to real division algebras. Zbl 0451.17002
Benkart, Georgia; Osborn, J. Marshall; Britten, Daniel
3
1981
Lie algebras graded by root systems. Zbl 0826.17030
Benkart, Georgia; Zelmanov, Efim
3
1994
Commuting actions – a tale of two groups. Zbl 0874.17004
Benkart, Georgia
3
1996
Lie \(G\)-tori of symplectic type. Zbl 1223.17022
Benkart, Georgia; Yoshii, Yoji
3
2006
Planar rook algebras and tensor representations of \(\mathfrak{gl}(1|1)\). Zbl 1269.05115
Benkart, Georgia; Moon, Dongho
3
2013
AWM at 50 and beyond. Zbl 1467.01033
Benkart, Georgia; Lauter, Kristin; Wiegand, Sylvia
3
2021
Isomorphism classes of Hamiltonian Lie algebras. Zbl 0677.17012
Benkart, G. M.; Gregory, T. B.; Osborn, J. M.; Strade, H.; Wilson, R. L.
2
1989
The construction of examples of Lie-admissible algebras. Zbl 0481.17009
Benkart, Georgia M.
2
1982
The polynomial behavior of weight multiplicities for the affine Kac-Moody algebras \(A_r^{(1)}\). Zbl 0997.17013
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Misra, Kailash C.; Shin, Dong-Uy
2
2001
Weight multiplicities for affine Kac-Moody algebras. Zbl 0818.17027
Benkart, Georgia; Kass, Steven
2
1994
McKay matrices for finite-dimensional Hopf algebras. Zbl 1490.19001
Benkart, Georgia; Biswal, Rekha; Kirkman, Ellen; Van C. Nguyen; Zhu, Jieru
1
2022
AWM at 50 and beyond. Zbl 1467.01033
Benkart, Georgia; Lauter, Kristin; Wiegand, Sylvia
3
2021
Tensor product Markov chains. Zbl 1467.60054
Benkart, Georgia; Diaconis, Persi; Liebeck, Martin W.; Tiep, Pham Huu
5
2020
McKay centralizer algebras. Zbl 1440.05239
Benkart, Georgia; Halverson, Tom
1
2020
Partition algebras \(\mathsf {P}_k(n)\) with \(2k>n\) and the fundamental theorems of invariant theory for the symmetric group \(\mathsf {S}_n\). Zbl 1411.05274
Benkart, Georgia; Halverson, Tom
14
2019
Partition algebras and the invariant theory of the symmetric group. Zbl 1421.05094
Benkart, Georgia; Halverson, Tom
14
2019
Chip firing on Dynkin diagrams and McKay quivers. Zbl 1448.17015
Benkart, Georgia; Klivans, Caroline; Reiner, Victor
13
2018
A minimaj-preserving crystal on ordered multiset partitions. Zbl 1379.05015
Benkart, Georgia; Colmenarejo, Laura; Harris, Pamela E.; Orellana, Rosa; Panova, Greta; Schilling, Anne; Yip, Martha
10
2018
Walks on graphs and their connections with tensor invariants and centralizer algebras. Zbl 1388.05191
Benkart, Georgia; Moon, Dongho
1
2018
Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups. Zbl 1368.05156
Benkart, Georgia; Halverson, Tom; Harman, Nate
17
2017
Quantum walled Brauer-Clifford superalgebras. Zbl 1342.17002
Benkart, Georgia; Guay, Nicolas; Jung, Ji Hye; Kang, Seok-Jin; Wilcox, Stewart
8
2016
McKay centralizer algebras. Zbl 1332.05147
Barnes, Jeffrey M.; Benkart, Georgia; Halverson, Tom
6
2016
Poincaré series for tensor invariants and the McKay correspondence. Zbl 1342.14030
Benkart, Georgia
5
2016
The center of the affine nilTemperley-Lieb algebra. Zbl 1415.20006
Benkart, Georgia; Meinel, Joanna
4
2016
A Schur-Weyl duality approach to walking on cubes. Zbl 1347.05246
Benkart, Georgia; Moon, Dongho
1
2016
A parametric family of subalgebras of the Weyl algebra. I: Structure and automorphisms. Zbl 1312.16020
Benkart, Georgia; Lopes, Samuel A.; Ondrus, Matthew
12
2015
Derivations of a parametric family of subalgebras of the Weyl algebra. Zbl 1312.16019
Benkart, Georgia; Lopes, Samuel A.; Ondrus, Matthew
11
2015
Some problems in the representation theory of simple modular Lie algebras. Zbl 1392.17013
Benkart, Georgia; Feldvoss, Jörg
1
2015
Motzkin algebras. Zbl 1284.05333
Benkart, Georgia; Halverson, Tom
23
2014
Construction of irreducible representations over Khovanov-Lauda-Rouquier algebras of finite classical type. Zbl 1355.17009
Benkart, Georgia; Kang, Seok-Jin; Oh, Se-Jin; Park, Euiyong
11
2014
Connecting the McKay correspondence and Schur-Weyl duality. Zbl 1373.14017
Benkart, Georgia
4
2014
The combinatorics of \(\mathsf{A}_2\)-webs. Zbl 1300.05316
Benkart, Georgia; Cho, Soojin; Moon, Dongho
1
2014
New irreducible modules for Heisenberg and affine Lie algebras. Zbl 1306.17009
Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav; Kashuba, Iryna
18
2013
Hopf algebras with triality. Zbl 1278.16032
Benkart, Georgia; Madariaga, Sara; Pérez-Izquierdo, José M.
12
2013
A parametric family of subalgebras of the Weyl algebra. II: Irreducible modules. Zbl 1308.16022
Benkart, Georgia; Lopes, Samuel A.; Ondrus, Matthew
9
2013
Planar rook algebras and tensor representations of \(\mathfrak{gl}(1|1)\). Zbl 1269.05115
Benkart, Georgia; Moon, Dongho
3
2013
Lie algebras with prescribed \(\mathfrak{sl}_{3}\) decomposition. Zbl 1329.17021
Benkart, Georgia; Elduque, Alberto
4
2012
The equitable basis for \({\mathfrak{sl}_2}\). Zbl 1277.17013
Benkart, Georgia; Terwilliger, Paul
18
2011
Yetter-Drinfeld modules under cocycle twists. Zbl 1223.16011
Benkart, Georgia; Pereira, Mariana; Witherspoon, Sarah
7
2010
Unitary Lie algebras and Lie tori of type \(\text{BC}_r\), \(r\geq 3\). Zbl 1262.17011
Allison, Bruce; Benkart, Georgia
1
2010
Whittaker modules for generalized Weyl algebras. Zbl 1251.16020
Benkart, Georgia; Ondrus, Matthew
43
2009
The Recognition Theorem for graded Lie algebras in prime characteristic. Zbl 1167.17004
Benkart, Georgia; Gregory, Thomas; Premet, Alexander
17
2009
The Lie inner ideal structure of associative rings revisited. Zbl 1210.16038
Benkart, Georgia; Fernández López, Antonio
9
2009
The universal central extension of the three-point \(\mathfrak{sl}_2\) loop algebra. Zbl 1153.17008
Benkart, Georgia; Terwilliger, Paul
24
2007
Quantum group actions, twisting elements, and deformations of algebras. Zbl 1116.16035
Benkart, Georgia; Witherspoon, Sarah
1
2007
The centroid of extended affine and root graded Lie algebras. Zbl 1163.17306
Benkart, Georgia; Neher, Erhard
29
2006
Level 1 perfect crystals and path realizations of basic representations at \(q=0\). Zbl 1149.17016
Benkart, Georgia; Frenkel, Igor; Kang, Seokjin; Lee, Hyeonmi
19
2006
On the centre of two-parameter quantum groups. Zbl 1106.17013
Benkart, Georgia; Kang, Seok-Jin; Lee, Kyu-Hwan
11
2006
Classical Lie superalgebras over simple associative algebras. Zbl 1129.17009
Benkart, Georgia; Xu, Xiaoping; Zhao, Kaiming
4
2006
Lie \(G\)-tori of symplectic type. Zbl 1223.17022
Benkart, Georgia; Yoshii, Yoji
3
2006
Representations of rank 3 algebras. Zbl 1127.17001
Benkart, Georgia; Labra, Alicia
1
2006
Tensor product representations of Temperley-Lieb algebras and Chebyshev polynomials. Zbl 1179.17009
Benkart, Georgia; Moon, Dongho
4
2005
Two-parameter quantum groups and Drinfel’d doubles. Zbl 1113.16041
Benkart, Georgia; Witherspoon, Sarah
43
2004
Representations of two-parameter quantum groups and Schur-Weyl duality. Zbl 1048.16021
Benkart, Georgia; Witherspoon, Sarah
30
2004
Restricted two-parameter quantum groups. Zbl 1048.16020
Benkart, Georgia; Witherspoon, Sarah
23
2004
Irreducible modules for the quantum affine algebra \(U_{q}(\mathfrak {\widehat{sl}_2})\) and its Borel subalgebra. Zbl 1106.17014
Benkart, Georgia; Terwilliger, Paul
23
2004
Weight modules for Weyl algebras. Zbl 1057.16021
Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav
17
2004
Some constructions in the theory of locally finite simple Lie algebras. Zbl 1138.17311
Bahturin, Yuri; Benkart, Georgia
7
2004
\(A(n,n)\)-graded Lie superalgebras. Zbl 1059.17017
Benkart, Georgia; Elduque, Alberto; Martínez, Consuelo
4
2004
Weighted Aztec diamond graphs and the Weyl character formula. Zbl 1053.52025
Benkart, Georgia; Eng, Oliver
1
2004
Lie algebras graded by the root system \(BC_1\). Zbl 1015.17028
Benkart, Georgia; Smirnov, Oleg
16
2003
Lie superalgebras graded by the root system \(B(m,n)\). Zbl 1040.17027
Benkart, Georgia; Elduque, Alberto
9
2003
Lie superalgebras graded by the root system \(A(m,n)\). Zbl 1030.17029
Benkart, Giorgia; Elduque, Alberto
7
2003
The Tits construction and the exceptional simple classical Lie superalgebras. Zbl 1045.17002
Benkart, Georgia; Elduque, Alberto
5
2003
Lie algebras graded by the root systems \(BC_r\), \(r\geq 2\). Zbl 0998.17031
Allison, Bruce; Benkart, Georgia; Gao, Yun
16
2002
A new construction of the Kac Jordan superalgebra. Zbl 1083.17014
Benkart, Georgia; Elduque, Alberto
11
2002
Principal ideals and associate rings. Zbl 1046.13004
Spellman, Dennis; Benkart, Georgia M.; Gaglione, Anthony M.; Joyner, W. David; Kidwell, Mark E.; Meyerson, Mark D.; Wardlaw, William P.
10
2002
Lie superalgebras graded by the root systems \(C(n)\), \(D(m,n)\), \(D(2,1;\alpha)\), \(F(4)\), \(G(3)\). Zbl 1040.17026
Benkart, Georgia; Elduque, Alberto
7
2002
Derangements and tensor powers of adjoint modules for \(\mathfrak{sl}_n\). Zbl 1018.17003
Benkart, Georgia; Doty, Stephen
7
2002
A Hopf structure for down-up algebras. Zbl 1006.16028
Benkart, Georgia; Witherspoon, Sarah
22
2001
The polynomial behavior of weight multiplicities for the affine Kac-Moody algebras \(A_r^{(1)}\). Zbl 0997.17013
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Misra, Kailash C.; Shin, Dong-Uy
2
2001
Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki
55
2000
Central extensions of Lie algebras graded by finite root systems. Zbl 0989.17004
Allison, Bruce; Benkart, Georgia; Gao, Yun
27
2000
A quantum octonion algebra. Zbl 0931.17011
Benkart, Georgia; Pérez-Izquierdo, José M.
4
2000
Down-up algebras and Witten’s deformations of the universal enveloping algebra of \({\mathfrak sl}_2\). Zbl 0922.17007
Benkart, Georgia
16
1999
The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras. Zbl 0948.17011
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Shin, Dong-Uy
3
1999
Down-up algebras. Zbl 0922.17006
Benkart, Georgia; Roby, Tom
82
1998
Tensor product representations for orthosymplectic Lie superalgebras. Zbl 0932.17008
Benkart, Georgia; Lee Shader, Chanyoung; Ram, Arun
26
1998
Quantized enveloping algebras for Borcherds superalgebras. Zbl 0913.17008
Benkart, Georgia; Kang, Seok-Jin; Melville, Duncan
25
1998
Derivations and invariant forms of Lie algebras graded by finite root systems. Zbl 0913.17015
Benkart, Georgia
12
1998
On graded Lie algebras of characteristic three with classical reductive null component. Zbl 0926.17016
Benkart, Georgia; Gregory, Thomas; Kuznetsov, Michael I.
1
1998
Modules with bounded weight multiplicities for simple Lie algebras. Zbl 0884.17004
Benkart, Georgia; Britten, Daniel; Lemire, Frank
31
1997
Highest weight modules for locally finite Lie algebras. Zbl 0920.17011
Bakhturin, Yuri; Benkart, Georgia
8
1997
Lie algebras graded by finite root systems and intersection matrix algebras. Zbl 0871.17024
Benkart, Georgia; Zelmanov, Efim
60
1996
Tableau switching: Algorithms and applications. Zbl 0858.05099
Benkart, Georgia; Sottile, Frank; Stroomer, Jeffrey
37
1996
The simple graded Lie algebras of characteristic three with classical reductive component \(L_ 0\). Zbl 0846.17022
Benkart, Georgia; Kostrikin, Alexei I.; Kuznetsov, Michael I.
5
1996
Commuting actions – a tale of two groups. Zbl 0874.17004
Benkart, Georgia
3
1996
Weight multiplicity polynomials for affine Kac-Moody algebras of type \(A_ r^{(1)}\). Zbl 0862.17016
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
2
1996
Finite-dimensional simple Lie algebras with a nonsingular derivation. Zbl 0815.17018
Benkart, Georgia; Kostrikin, Alexei I.; Kuznetsov, Michael I.
23
1995
Indefinite Kac-Moody algebras of special linear type. Zbl 0857.17020
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
6
1995
Tensor product representations of general linear groups and their connections with Brauer algebras. Zbl 0815.20028
Benkart, Georgia; Chakrabarti, Manish; Halverson, Thomas; Leduc, Robert; Lee, Chanyoung; Stroomer, Jeffrey
59
1994
Contributions to the classification of simple modular Lie algebras. Zbl 0792.17016
Benkart, Georgia; Osborn, J. Marshall; Strade, Helmut
7
1994
Indefinite Kac-Moody algebras of classical type. Zbl 0824.17025
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
6
1994
Lie algebras graded by root systems. Zbl 0826.17030
Benkart, Georgia; Zelmanov, Efim
3
1994
Weight multiplicities for affine Kac-Moody algebras. Zbl 0818.17027
Benkart, Georgia; Kass, Steven
2
1994
Graded Lie algebras of Kac-Moody type. Zbl 0854.17026
Benkart, Georgia; Kang, Seok-Jin; Misra, Kailash C.
22
1993
Stability in modules for general linear Lie superalgebras. Zbl 0873.17003
Benkart, Georgia; Lee, Chanyoung
1
1993
Projection maps for tensor products of \({\mathfrak g\mathfrak l}(r,\mathbb{C})\)- representations. Zbl 0830.17004
Benkart, Georgia; Britten, Daniel; Lemire, Frank
2
1992
A combinatorial model for tensor products of the spin representation. Zbl 0813.17006
Benkart, Georgia; Stroomer, Jeffrey
1
1992
Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebra \(so(2r+1,\mathbb{C})\). Zbl 0747.17006
Benkart, Georgia; Stroomer, Jeffrey
6
1991
Stability in modules for classical Lie algebras - A constructive approach. Zbl 0706.17003
Benkart, G. M.; Britten, D. J.; Lemire, F. W.
14
1990
Simple modular Lie algebras with 1-sections that are classical or solvable. Zbl 0723.17019
Benkart, Georgia
3
1990
Simple Lie algebras of characteristic p with dependent roots. Zbl 0703.17009
Benkart, Georgia; Osborn, J. Marshall
1
1990
Partitions, tableaux, and stability in the representation theory of classical Lie algebras. Zbl 0735.17007
Benkart, Georgia
1
1990
Graded Lie algebras with classical reductive null component. Zbl 0648.17005
Benkart, Georgia; Gregory, Thomas
10
1989
Isomorphism classes of Hamiltonian Lie algebras. Zbl 0677.17012
Benkart, G. M.; Gregory, T. B.; Osborn, J. M.; Strade, H.; Wilson, R. L.
2
1989
Toral rank one Lie algebras. Zbl 0644.17009
Benkart, Georgia; Osborn, J. Marshall
7
1988
Derivations, central extensions, and affine Lie algebras. Zbl 0619.17014
Benkart, G. M.; Moody, R. V.
23
1986
Cartan subalgebras in Lie algebras of Cartan type. Zbl 0581.17006
Benkart, Georgia
11
1986
A Kac-Moody bibliography and some related references. Zbl 0578.17013
2
1986
...and 20 more Documents
all top 5

Cited by 994 Authors

41 Benkart, Georgia McClure
23 Kang, Seok-Jin
22 Elduque, Alberto
21 Terwilliger, Paul M.
19 Futorny, Vyacheslav M.
19 Hu, Naihong
18 Zhao, Kaiming
16 Gao, Yun
16 Kwon, Jae-Hoon
15 García González, Esther
14 Grantcharov, Dimitar
13 Goméz Lozano, Miguel Ángel
12 Fernández López, Antonio
12 Kirkman, Ellen E.
11 Neher, Erhard
11 Nomura, Kazumasa
11 Scrimshaw, Travis
10 East, James
10 Hartwig, Jonas T.
10 Jung, Ji Hye
10 Lopes, Samuel A.
10 Pianzola, Arturo
10 Zhang, Honglian
9 Chen, Hongjia
9 Jing, Naihuan
9 Kim, Myungho
9 Liu, Dong
9 Osborn, James Marshall
9 Schilling, Anne
9 Varea Agudo, Vicente R.
9 Xia, Limeng
8 Baranov, Alexander A.
8 Bavula, Vladimir V.
8 Strade, Helmut
8 Yoshii, Yoji
8 Yousofzadeh, Malihe
7 Berman, Stephen
7 Brešar, Matej
7 Guo, Xiangqian
7 Halverson, Thomas
7 Misra, Kailash C.
7 Ondrus, Matthew
7 Orellana, Rosa C.
7 Pei, Yufeng
7 Solotar, Andrea Leonor
7 Zusmanovich, Pasha
6 Allison, Bruce N.
6 Azam, Saeid
6 Bahturin, Yuri
6 Doty, Stephen R.
6 Draper, Cristina
6 Faulkner, John R.
6 Ito, Tatsuro
6 Kuzmanovich, James J.
6 Kuznetsov, Michael I.
6 Leites, Dimitry A.
6 Mazorchuk, Volodymyr
6 Moon, Dongho
6 Rochdi, Abdellatif
6 Serganova, Vera V.
6 Tan, Shaobin
6 Tvalavadze, Marina V.
6 Zhang, James J.
5 Bouarroudj, Sofiane
5 Britten, Daniel J.
5 Funk-Neubauer, Darren
5 Kashiwara, Masaki
5 Kashuba, Iryna
5 Lee Shader, Chanyoung
5 Lemire, Frank W.
5 Liu, Xuewen
5 Lü, Rencai
5 Martins, Renato Alessandro
5 Mattarei, Sandro
5 Myung, Hyo Chul
5 Okado, Masato
5 Pérez-Izquierdo, José María
5 Premet, Alexander A.
5 Pumplün, Susanne
5 Ramgoolam, Sanjaye
5 Smith, Jonathan Dallas Hayden
5 Stolin, Alexander
5 Wu, Zhixiang
5 Xu, Xiaoping
5 Yang, Shilin
5 Zabrocki, Mike
5 Zel’manov, Efim Isaakovich
4 Alnajjar, Hasan
4 Beidar, Konstantin Igorevich
4 Benayadi, Saïd
4 Benito, Pilar
4 Burde, Dietrich
4 Cai, Yanan
4 Calderón Martín, Antonio Jesús
4 Carvalho, Paula A. A. B.
4 Cassidy, Thomas
4 Cohen, Arjeh Marcel
4 Gaetz, Christian
4 Gao, Dongfang
4 García, Gastón Andrés
...and 894 more Authors
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Cited in 159 Serials

229 Journal of Algebra
131 Communications in Algebra
45 Journal of Pure and Applied Algebra
36 Linear Algebra and its Applications
31 Proceedings of the American Mathematical Society
31 Transactions of the American Mathematical Society
30 Journal of Algebra and its Applications
29 Advances in Mathematics
27 Algebras and Representation Theory
17 Journal of Mathematical Physics
17 Journal of Combinatorial Theory. Series A
17 Transformation Groups
16 Journal of Algebraic Combinatorics
14 Communications in Mathematical Physics
13 Frontiers of Mathematics in China
12 Mathematische Zeitschrift
12 Acta Mathematica Sinica. English Series
11 Journal of Mathematical Sciences (New York)
11 Séminaire Lotharingien de Combinatoire
10 Linear and Multilinear Algebra
9 Selecta Mathematica. New Series
9 Science China. Mathematics
8 International Journal of Algebra and Computation
8 The Electronic Journal of Combinatorics
7 Israel Journal of Mathematics
7 Letters in Mathematical Physics
7 Nuclear Physics. B
7 Journal of Geometry and Physics
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Journal of High Energy Physics
7 Algebraic Combinatorics
6 Algebra Colloquium
6 Representation Theory
5 European Journal of Combinatorics
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Archiv der Mathematik
4 Duke Mathematical Journal
4 Glasgow Mathematical Journal
4 Journal of the London Mathematical Society. Second Series
4 Memoirs of the American Mathematical Society
4 Advances in Applied Mathematics
4 Bulletin of the American Mathematical Society. New Series
4 Indagationes Mathematicae. New Series
4 Annals of Combinatorics
3 Bulletin of the Australian Mathematical Society
3 Discrete Mathematics
3 Rocky Mountain Journal of Mathematics
3 Algebra and Logic
3 Annales de l’Institut Fourier
3 Canadian Journal of Mathematics
3 Journal of Soviet Mathematics
3 Siberian Mathematical Journal
3 Science in China. Series A
3 International Journal of Mathematics
3 Journal of Lie Theory
3 ELA. The Electronic Journal of Linear Algebra
3 Communications in Contemporary Mathematics
3 Journal of Physics A: Mathematical and Theoretical
3 Forum of Mathematics, Sigma
3 European Journal of Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Theoretical and Mathematical Physics
2 Arkiv för Matematik
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Compositio Mathematica
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Nagoya Mathematical Journal
2 Osaka Journal of Mathematics
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Bulletin des Sciences Mathématiques
2 Journal of the European Mathematical Society (JEMS)
2 Annales Henri Poincaré
2 Mediterranean Journal of Mathematics
2 Chebyshevskiĭ Sbornik
2 Journal of Noncommutative Geometry
2 Asian-European Journal of Mathematics
2 Advances in Mathematical Physics
2 Kyoto Journal of Mathematics
2 Bulletin of Mathematical Sciences
2 Afrika Matematika
2 Communications in Mathematics
2 Journal of Mathematics
2 Proceedings of the American Mathematical Society. Series B
2 Journal of Combinatorial Algebra
2 Electronic Research Archive
1 Modern Physics Letters A
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Reviews in Mathematical Physics
1 The Mathematical Intelligencer
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
...and 59 more Serials
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Cited in 42 Fields

771 Nonassociative rings and algebras (17-XX)
299 Associative rings and algebras (16-XX)
205 Combinatorics (05-XX)
177 Group theory and generalizations (20-XX)
83 Quantum theory (81-XX)
44 Linear and multilinear algebra; matrix theory (15-XX)
41 Algebraic geometry (14-XX)
40 Category theory; homological algebra (18-XX)
30 Topological groups, Lie groups (22-XX)
19 Commutative algebra (13-XX)
18 Special functions (33-XX)
17 Number theory (11-XX)
14 Statistical mechanics, structure of matter (82-XX)
9 Functional analysis (46-XX)
9 Manifolds and cell complexes (57-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
7 \(K\)-theory (19-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Probability theory and stochastic processes (60-XX)
5 History and biography (01-XX)
5 Operator theory (47-XX)
5 Differential geometry (53-XX)
4 Computer science (68-XX)
3 Functions of a complex variable (30-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 Field theory and polynomials (12-XX)
2 Convex and discrete geometry (52-XX)
2 Relativity and gravitational theory (83-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)

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