Georgia M. Benkart - Publications

Affiliations: 
University of Wisconsin, Madison, Madison, WI 
Area:
Mathematics

69 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Benkart G, Diaconis P, Liebeck MW, Tiep PH. Tensor product Markov chains Journal of Algebra. 561: 17-83. DOI: 10.1016/J.Jalgebra.2019.10.038  0.349
2019 Benkart G, Halverson T. Partition algebras Pk(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn Journal of the London Mathematical Society-Second Series. 99: 194-224. DOI: 10.1112/Jlms.12175  0.379
2018 Benkart G, Moon D. Walks on graphs and their connections with tensor invariants and centralizer algebras Journal of Algebra. 509: 1-39. DOI: 10.1016/J.Jalgebra.2018.05.009  0.376
2018 Benkart G, Colmenarejo L, Harris PE, Orellana RC, Panova G, Schilling A, Yip M. A minimaj-preserving crystal on ordered multiset partitions Advances in Applied Mathematics. 95: 96-115. DOI: 10.1016/J.Aam.2017.11.006  0.31
2018 Benkart G, Klivans C, Reiner VS. Chip firing on Dynkin diagrams and McKay quivers Mathematische Zeitschrift. 290: 615-648. DOI: 10.1007/S00209-017-2034-5  0.406
2017 Benkart G, Halverson T, Harman N. Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups Journal of Algebraic Combinatorics. 46: 77-108. DOI: 10.1007/S10801-017-0748-4  0.376
2016 Barnes JM, Benkart G, Halverson T. McKay centralizer algebras Proceedings of the London Mathematical Society. 112: 375-414. DOI: 10.1112/Plms/Pdv075  0.418
2016 Benkart G, Elduque A. Cross products, invariants, and centralizers Journal of Algebra. 500: 69-102. DOI: 10.1016/J.Jalgebra.2016.11.013  0.384
2016 Benkart G, Guay N, Jung JH, Kang SJ, Wilcox S. Quantum walled Brauer-Clifford superalgebras Journal of Algebra. 454: 433-474. DOI: 10.1016/J.Jalgebra.2015.04.038  0.343
2016 Benkart G. Poincaré series for tensor invariants and the McKay correspondence Advances in Mathematics. 290: 236-259. DOI: 10.1016/J.Aim.2015.11.041  0.42
2016 Benkart G, Meinel J. The center of the affine nilTemperley-Lieb algebra Mathematische Zeitschrift. 284: 413-439. DOI: 10.1007/S00209-016-1660-7  0.493
2016 Benkart G, Moon D. A Schur-Weyl Duality Approach toWalking on Cubes Annals of Combinatorics. 1-21. DOI: 10.1007/S00026-016-0311-3  0.422
2015 Benkart G, Lopes SA, Ondrus M. Derivations of a parametric family of subalgebras of the Weyl algebra Journal of Algebra. 424: 46-97. DOI: 10.1016/J.Jalgebra.2014.11.007  0.362
2014 Benkart G, Cho S, Moon D. The Combinatorics of $\mathsf{A_2}$-Webs Electronic Journal of Combinatorics. 21: 2-25. DOI: 10.37236/3936  0.34
2014 Benkart G, Kang S, Oh S, Park E. Construction of Irreducible Representations over Khovanov–Lauda–Rouquier Algebras of Finite Classical Type International Mathematics Research Notices. 2014: 1312-1366. DOI: 10.1093/Imrn/Rns244  0.459
2014 Benkart G, Lopes SA, Ondrus M. A Parametric Family Of Subalgebras Of The Weyl Algebra I. Structure And Automorphisms Transactions of the American Mathematical Society. 367: 1993-2021. DOI: 10.1090/S0002-9947-2014-06144-8  0.414
2014 Benkart G, Halverson T. Motzkin algebras European Journal of Combinatorics. 36: 473-502. DOI: 10.1016/J.Ejc.2013.09.010  0.364
2013 Benkart G, Moon D. Planar Rook Algebras and Tensor Representations of g{fraktur}l{fraktur}(1 {pipe} 1) Communications in Algebra. 41: 2405-2416. DOI: 10.1080/00927872.2012.658533  0.444
2013 Bekkert V, Benkart G, Futorny V, Kashuba I. New irreducible modules for Heisenberg and affine Lie algebras Journal of Algebra. 373: 284-298. DOI: 10.1016/J.Jalgebra.2012.09.035  0.458
2012 Benkart G, Madariaga S, Pérez-Izquierdo JM. Hopf algebras with triality Transactions of the American Mathematical Society. 365: 1001-1023. DOI: 10.1090/S0002-9947-2012-05656-X  0.493
2011 Benkart G, Terwilliger P. The equitable basis for Sl2 Mathematische Zeitschrift. 268: 535-557. DOI: 10.1007/S00209-010-0682-9  0.359
2010 Benkart G, Pereira M, Witherspoon S. Yetter-Drinfeld modules under cocycle twists Journal of Algebra. 324: 2990-3006. DOI: 10.1016/J.Jalgebra.2009.10.001  0.417
2009 Benkart G, Ondrus M. Whittaker modules for generalized Weyl algebras Representation Theory of the American Mathematical Society. 13: 141-164. DOI: 10.1090/S1088-4165-09-00347-1  0.426
2009 Benkart G, López AF. The Lie Inner Ideal Structure of Associative Rings Revisited Communications in Algebra. 37: 3833-3850. DOI: 10.1080/00927870802545729  0.334
2007 Benkart G, Witherspoon S. Quantum group actions, twisting elements, and deformations of algebras Journal of Pure and Applied Algebra. 208: 371-389. DOI: 10.1016/J.Jpaa.2006.01.011  0.416
2006 Benkart G, Frenkel I, Kang S, Lee H. Level 1 perfect crystals and path realizations of basic representations at q = 0 International Mathematics Research Notices. 2006. DOI: 10.1155/Imrn/2006/10312  0.334
2006 Benkart G, Yoshii Y. Lie G-Tori Of Symplectic Type Quarterly Journal of Mathematics. 57: 425-448. DOI: 10.1093/Qmath/Hal007  0.334
2006 Benkart G, Labra A. Representations of Rank 3 Algebras Communications in Algebra. 34: 2867-2877. DOI: 10.1080/00927870600637157  0.499
2006 Benkart G, Kang S, Lee K. On the centre of two-parameter quantum groups Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 136: 445-472. DOI: 10.1017/S0308210500005011  0.355
2006 Benkart G, Xu X, Zhao K. Classical Lie Superalgebras Over Simple Associative Algebras Proceedings of the London Mathematical Society. 92: 581-600. DOI: 10.1017/S0024611505015583  0.486
2006 Benkart G, Neher E. The centroid of extended affine and root graded Lie algebras Journal of Pure and Applied Algebra. 205: 117-145. DOI: 10.1016/J.Jpaa.2005.06.007  0.509
2004 Benkart G, Eng O. Weighted Aztec Diamond Graphs and the Weyl Character Formula Electronic Journal of Combinatorics. 11: 28. DOI: 10.37236/1781  0.335
2004 Benkart G, Witherspoon S. Two-parameter quantum groups and Drinfel'd doubles Algebras and Representation Theory. 7: 261-286. DOI: 10.1023/B:Alge.0000031151.86090.2E  0.335
2004 Benkart G, Terwilliger P. Irreducible modules for the quantum affine algebra Uq (SÎl2) and its Borel subalgebra Journal of Algebra. 282: 172-194. DOI: 10.1016/J.Jalgebra.2004.08.016  0.392
2003 Benkart G, Elduque A. The Tits Construction and the Exceptional Simple Classical Lie Superalgebras Quarterly Journal of Mathematics. 54: 123-137. DOI: 10.1093/Qmath/Hag014  0.375
2002 Allison B, Benkart G, Gao Y. Lie algebras graded by the root systems ᵣ,≥2 Memoirs of the American Mathematical Society. 158: 0-0. DOI: 10.1090/Memo/0751  0.377
2001 Benkart G, Kang S, Lee H, Misra KC, Shin D. The Polynomial Behavior of Weight Multiplicities for the Affine Kac–Moody Algebras A(1)r Compositio Mathematica. 126: 91-111. DOI: 10.1023/A:1017584131106  0.317
2001 Benkart G, Witherspoon S. A Hopf structure for down-up algebras Mathematische Zeitschrift. 238: 523-553. DOI: 10.1007/S002090100265  0.382
2000 Allison B, Benkart G, Gao Y. Central extensions of Lie algebras graded by finite root systems Mathematische Annalen. 316: 499-527. DOI: 10.1007/S002080050341  0.454
1999 Benkart G, Pérez-Izquierdo JM. A quantum octonion algebra Transactions of the American Mathematical Society. 352: 935-968. DOI: 10.1090/S0002-9947-99-02415-0  0.397
1998 Benkart G. Derivations and invariant forms of Lie algebras graded by finite root systems Canadian Journal of Mathematics. 50: 225-241. DOI: 10.4153/Cjm-1998-012-3  0.465
1998 Benkart G, Shader CL, Ram A. Tensor product representations for orthosymplectic Lie superalgebras Journal of Pure and Applied Algebra. 130: 1-48. DOI: 10.1016/S0022-4049(97)00084-4  0.436
1998 Benkart G, Roby T. Down–Up Algebras Journal of Algebra. 209: 305-344. DOI: 10.1006/Jabr.1998.7511  0.478
1997 Benkart G, Britten D, Lemire F. Modules with bounded weight multiplicities for simple Lie algebras Mathematische Zeitschrift. 225: 333-353. DOI: 10.1007/Pl00004314  0.381
1996 Benkart G, kostrikin AI, Kuznetsov MI. The simple graded lie algebras of characteristic three with classical reductive component L 0 Communications in Algebra. 24: 223-234. DOI: 10.1080/00927879608825563  0.396
1996 Benkart G, Zelmanov E. Lie algebras graded by finite root systems and intersection matrix algebras Inventiones Mathematicae. 126: 1-45. DOI: 10.1007/S002220050087  0.445
1995 Benkart G, Kang S, Misra KC. Indefinite Kac-Moody algebras of special linear type. Pacific Journal of Mathematics. 170: 379-404. DOI: 10.2140/Pjm.1995.170.379  0.433
1995 Benkart G, Kostrikin AI, Kuznetsov MI. Finite-Dimensional Simple Lie Algebras with a Nonsingular Derivation Journal of Algebra. 171: 894-916. DOI: 10.1006/Jabr.1995.1041  0.467
1994 Benkart G, Osborn JM, Strade H. Contributions to the classification of simple modular lie algebras Transactions of the American Mathematical Society. 341: 227-252. DOI: 10.1090/S0002-9947-1994-1129435-0  0.444
1994 Benkart G, Chakrabarti M, Halverson T, Leduc RE, Lee CY, Stroomer J. Tensor Product Representations of General Linear Groups and Their Connections with Brauer Algebras Journal of Algebra. 166: 529-567. DOI: 10.1006/Jabr.1994.1166  0.398
1994 Benkart G, Kang S, Misra KC. Indefinite Kac-Moody algebras of classical type Advances in Mathematics. 105: 76-110. DOI: 10.1006/Aima.1994.1040  0.335
1993 Benkart G, Kang S, Misra KC. Graded Lie Algebras of Kac-Moody Type Advances in Mathematics. 97: 154-190. DOI: 10.1006/Aima.1993.1005  0.339
1991 Benkart G, Stroomer J. Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebra so (2 r +1, C ) Journal of Combinatorial Theory, Series A. 57: 211-237. DOI: 10.1016/0097-3165(91)90046-J  0.351
1990 Benkart G, Osborn JM. Simple lie algebras of characteristic p with dependent roots Transactions of the American Mathematical Society. 318: 783-807. DOI: 10.1090/S0002-9947-1990-0955488-2  0.314
1990 Benkart G. Simple modular lie algebras with 1-sections that are classical or solvable Communications in Algebra. 18: 3633-3638. DOI: 10.1080/00927879008824097  0.399
1989 Benkart G, Gregory T. Graded Lie algebras with classical reductive null component Mathematische Annalen. 285: 85-98. DOI: 10.1007/Bf01442673  0.404
1987 Benkart G. Abstract Algebra, By I. N. Herstein American Mathematical Monthly. 94: 804-806. DOI: 10.1080/00029890.1987.12000722  0.372
1984 Benkart GM. Power-associative Lie-admissible algebras Journal of Algebra. 90: 37-58. DOI: 10.1016/0021-8693(84)90196-0  0.321
1982 Benkart GM, Britten DJ, Osborn JM. Real flexible division algebras Canadian Journal of Mathematics. 34: 550-588. DOI: 10.4153/Cjm-1982-039-X  0.432
1981 Benkart GM, Osborn JM. The Derivation Algebra of a Real Division Algebra American Journal of Mathematics. 103: 1135. DOI: 10.2307/2374227  0.483
1981 Benkart GM, Osborn JM. An investigation of real division algebras using derivations Pacific Journal of Mathematics. 96: 265-300. DOI: 10.2140/Pjm.1981.96.265  0.422
1981 Benkart GM, Osborn JM. Derivations and automorphisms of nonassociative matrix algebras1 Transactions of the American Mathematical Society. 263: 411-430. DOI: 10.1090/S0002-9947-1981-0594417-5  0.303
1981 Benkart GM, Osborn JM. Flexible Lie-admissible algebras Journal of Algebra. 71: 11-31. DOI: 10.1016/0021-8693(81)90103-4  0.504
1980 Benkart G. Derivations and automorphisms of matrices symmetric relative to a canonical involution Journal of Algebra. 62: 418-429. DOI: 10.1016/0021-8693(80)90192-1  0.429
1979 Benkart GM, Isaacs IM, Osborn JM. Albert-Zassenhaus Lie algebras and isomorphisms Journal of Algebra. 57: 310-338. DOI: 10.1016/0021-8693(79)90226-6  0.517
1979 Benkart GM, Isaacs IM, Osborn JM. Lie algebras with self-centralizing ad-nilpotent elements Journal of Algebra. 57: 279-309. DOI: 10.1016/0021-8693(79)90225-4  0.367
1977 Benkart G. On inner ideals and ad-nilpotent elements of Lie algebras Transactions of the American Mathematical Society. 232: 61-81. DOI: 10.1090/S0002-9947-1977-0466242-6  0.342
1977 Benkart GM, Isaacs IM. On the existence of ad-nilpotent elements Proceedings of the American Mathematical Society. 63: 39-40. DOI: 10.1090/S0002-9939-1977-0432721-6  0.311
1976 Benkart G. The Lie inner ideal structure of associative rings Journal of Algebra. 43: 561-584. DOI: 10.1016/0021-8693(76)90127-7  0.376
Show low-probability matches.