World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
2925
World Ranking
3568
National Ranking
1380

Overview

Georgia Benkart was affiliated with the University of Wisconsin-Madison in the United States. Their research primarily focused on mathematics, with additional work in physics and astronomy.

Their research spanned several subfields, including:

  • Geometry and Topology
  • Statistical and Nonlinear Physics
  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Mathematical Physics

Key topics explored in their work included:

  • Algebraic structures and combinatorial models
  • Nonlinear Waves and Solitons
  • Advanced Topics in Algebra
  • Advanced Combinatorial Mathematics
  • Advanced Algebra and Geometry

Recent publications by Georgia Benkart featured research on algebraic structures, Hopf algebras, and tensor representations. These included:

  • "McKay matrices for finite-dimensional Hopf algebras," 2021, Canadian Journal of Mathematics
  • "AWM at 50 and Beyond," 2021, Notices of the American Mathematical Society
  • "Tensor representations for the Drinfeld double of the Taft algebra," 2022, Journal of Algebra
  • "McKay Matrices for Finite-dimensional Hopf Algebras," 2020, arXiv (Cornell University)
  • "McKay Centralizer Algebras," 2020, Discrete Mathematics & Theoretical Computer Science

They collaborated frequently with several researchers across multiple works. Frequent coauthors included Rekha Biswal, Ellen Kirkman, Van C. Nguyen, Jieru Zhu, and Kristin Lauter.

Georgia Benkart's work was published in a variety of venues, reflecting the interdisciplinary nature of their research interests. Notable publication venues were:

  • Canadian Journal of Mathematics
  • Notices of the American Mathematical Society
  • Journal of Algebra
  • arXiv (Cornell University)
  • Discrete Mathematics & Theoretical Computer Science

Best Publications

  • Down–Up Algebras

    Unknown

  • Lie algebras graded by finite root systems and intersection matrix algebras

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  • Crystal bases for the quantum superalgebra _

    Georgia Benkart;Seok-Jin Kang;Masaki Kashiwara

  • Tensor Product Representations of General Linear Groups and Their Connections with Brauer Algebras

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  • Two-Parameter Quantum Groups and Drinfel'd Doubles

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  • On inner ideals and ad-nilpotent elements of Lie algebras

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  • Whittaker modules for generalized Weyl algebras

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  • The universal central extension of the three-point sl2 loop algebra

    Georgia Benkart;Paul Terwilliger

  • The centroid of extended affine and root graded Lie algebras

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  • Tableau Switching

    Georgia Benkart;Frank Sottile;Jeffrey Stroomer

  • Lie algebras graded by the root system .

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  • Graded Lie Algebras of Kac-Moody Type

    Georgia Benkart;Seok-Jin Kang;Kailash C. Misra

  • An investigation of real division algebras using derivations

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  • Quantized enveloping algebras for Borcherds superalgebras

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  • Modules with bounded weight multiplicities for simple Lie algebras

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  • Tensor product representations for orthosymplectic Lie superalgebras

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  • The Derivation Algebra of a Real Division Algebra

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  • The Lie inner ideal structure of associative rings

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  • A Hopf structure for down-up algebras

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  • Central extensions of Lie algebras graded by finite root systems

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  • Level 1 perfect crystals and path realizations of basic representations at q = 0

    Georgia Benkart;Igor Frenkel;Seok-Jin Kang;Hyeonmi Lee

  • Construction of irreducible representations over Khovanov-Lauda-Rouquier algebras of finite classical type

    Georgia Benkart;Seok Jin Kang;Se Jin Oh;Euiyong Park

  • The Equitable Basis for sl_2

    Georgia Benkart;Paul Terwilliger

  • Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups

    Georgia Benkart;Tom Halverson;Nate Harman

  • Lie algebras with self-centralizing ad-nilpotent elements

    G.M Benkart;I.M Isaacs;J.M Osborn

  • Irreducible modules for the quantum affine algebra Uq(slˆ2) and its Borel subalgebra

    Georgia Benkart;Paul Terwilliger

  • Indefinite Kac-Moody algebras of classical type

    Georgia Benkart;Seok-Jin Kang;Kailash C. Misra

  • Chip firing on Dynkin diagrams and McKay quivers

    Georgia Benkart;Caroline Klivans;Victor S Reiner

  • Albert-Zassenhaus Lie algebras and isomorphisms☆

    G.M Benkart;I.M Isaacs;J.M Osborn

  • Tensor product Markov chains

    Georgia Benkart;Persi Diaconis;Martin W. Liebeck;Pham Huu Tiep

  • Quantum walled Brauer–Clifford superalgebras

    Georgia Benkart;Nicolas Guay;Ji Hye Jung;Seok-Jin Kang

  • McKay centralizer algebras

    Jeffrey M. Barnes;Georgia Benkart;Tom Halverson

  • Crystal Bases for Quantum Superalgebras

    Georgia Benkart;Seok-Jin Kang

  • Walks on graphs and their connections with tensor invariants and centralizer algebras

    Georgia Benkart;Dongho Moon

  • AWM at 50 and Beyond

    Georgia Benkart;Kristin Lauter;Sylvia Wiegand

  • Tensor Product Markov Chains.

    Georgia Benkart;Persi Diaconis;Martin W. Liebeck;Pham Huu Tiep

Frequent Co-Authors

Igor B. Frenkel
Igor B. Frenkel Yale University
Martin W. Liebeck
Martin W. Liebeck Imperial College London
Persi Diaconis
Persi Diaconis Stanford University

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