Edit Profile (opens in new tab) Benkart, Georgia McClure (b. 1949 d. 2022) Co-Author Distance Author ID: benkart.georgia-m Published as: Benkart, Georgia; Benkart, Georgia M.; Benkart, G. M.; Benkart, Giorgia; Benkart, G. more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 132 Publications since 1976, including 3 Books and 2 Additional arXiv Preprints 6 Contributions as Editor Biographic References: 2 Publications Co-Authors: 104 Co-Authors with 119 Joint Publications 2,793 Co-Co-Authors 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 all top 5 Fields 108 Nonassociative rings and algebras (17-XX) 33 Combinatorics (05-XX) 21 Associative rings and algebras (16-XX) 19 Group theory and generalizations (20-XX) 6 History and biography (01-XX) 6 Topological groups, Lie groups (22-XX) 5 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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