Georgia Benkart

2.7k total citations
90 papers, 1.3k citations indexed

About

Georgia Benkart is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Georgia Benkart has authored 90 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Algebra and Number Theory, 74 papers in Geometry and Topology and 35 papers in Mathematical Physics. Recurrent topics in Georgia Benkart's work include Advanced Topics in Algebra (75 papers), Algebraic structures and combinatorial models (68 papers) and Advanced Algebra and Geometry (28 papers). Georgia Benkart is often cited by papers focused on Advanced Topics in Algebra (75 papers), Algebraic structures and combinatorial models (68 papers) and Advanced Algebra and Geometry (28 papers). Georgia Benkart collaborates with scholars based in United States, Spain and Canada. Georgia Benkart's co-authors include J. Marshall Osborn, Efim Zelmanov, Tom Roby, Seok‐Jin Kang, Sarah Witherspoon, Matthew Ondrus, D. J. Britten, Bruce Allison, Paul Terwilliger and Alberto Elduque and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Georgia Benkart

87 papers receiving 1.2k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Georgia Benkart United States	22	1.2k	1.1k	506	363	264	90	1.3k
Frédéric Chapoton France	13	778 0.7×	722 0.7×	350 0.7×	185 0.5×	285 1.1×	43	895
Alberto Elduque Spain	17	930 0.8×	982 0.9×	356 0.7×	297 0.8×	90 0.3×	121	1.1k
Rüdiger Göbel Germany	17	986 0.9×	898 0.8×	498 1.0×	94 0.3×	193 0.7×	139	1.3k
Vera Serganova United States	15	720 0.6×	564 0.5×	309 0.6×	320 0.9×	193 0.7×	57	863
I. P. Shestakov Brazil	21	1.2k 1.1×	1.2k 1.1×	285 0.6×	261 0.7×	109 0.4×	126	1.5k
Vlastimil Dlab Canada	17	1.2k 1.1×	1.2k 1.1×	395 0.8×	330 0.9×	282 1.1×	84	1.5k
Susan Montgomery United States	22	2.8k 2.4×	2.8k 2.5×	1.1k 2.3×	697 1.9×	373 1.4×	80	3.1k
Karin Erdmann United Kingdom	21	1.4k 1.2×	1.2k 1.1×	673 1.3×	409 1.1×	419 1.6×	111	1.6k
Arkady Berenstein United States	11	912 0.8×	506 0.5×	488 1.0×	310 0.9×	448 1.7×	32	1.0k
J. Marshall Osborn United States	21	965 0.8×	1.1k 1.0×	262 0.5×	157 0.4×	156 0.6×	67	1.4k

Countries citing papers authored by Georgia Benkart

Since Specialization

Citations

This map shows the geographic impact of Georgia Benkart's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Georgia Benkart with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Georgia Benkart more than expected).

Fields of papers citing papers by Georgia Benkart

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Georgia Benkart. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Georgia Benkart. The network helps show where Georgia Benkart may publish in the future.

Co-authorship network of co-authors of Georgia Benkart

This figure shows the co-authorship network connecting the top 25 collaborators of Georgia Benkart. A scholar is included among the top collaborators of Georgia Benkart based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Georgia Benkart. Georgia Benkart is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Benkart, Georgia & Seok‐Jin Kang. (2018). Crystal Bases for Quantum Superalgebras. Advanced studies in pure mathematics. 21–54. 1 indexed citations

Benkart, Georgia & Alberto Elduque. (2016). Cross products, invariants, and centralizers. Journal of Algebra. 500. 69–102. 2 indexed citations

Benkart, Georgia, Mariana Pereira, & Sarah Witherspoon. (2009). Yetter–Drinfeld modules under cocycle twists. Journal of Algebra. 324(11). 2990–3006. 8 indexed citations

Bahturin, Yuri & Georgia Benkart. (2004). Some Constructions in the Theory of Locally Finite Simple Lie Algebras. Journal of Lie theory. 14(1). 243–270. 5 indexed citations

Benkart, Georgia, et al.. (2003). Lie algebras graded by the root system .. Journal of Lie theory. 13(1). 91–132. 25 indexed citations

Allison, Bruce, et al.. (2002). Lie algebras graded by the root systems BCr, r ≧ 2. CERN Document Server (European Organization for Nuclear Research). 13 indexed citations

Benkart, Georgia, et al.. (2001). The Polynomial Behavior of Weight Multiplicities for the Affine Kac–Moody Algebras A(1) r. Compositio Mathematica. 126(1). 91–111. 3 indexed citations

Benkart, Georgia, Seok‐Jin Kang, & Kailash C. Misra. (1996). Weight multiplicity polynomials for affine Kac-Moody algebras of type $A_r$. Compositio Mathematica. 104(2). 153–187. 4 indexed citations

Benkart, Georgia, et al.. (1992). Projection Maps for Tensor Products of $\mathcal{gl}(\mathcal r, \boldsymbol C)$-Representations. Publications of the Research Institute for Mathematical Sciences. 28(6). 983–1010. 2 indexed citations

10.

Benkart, Georgia & J. Marshall Osborn. (1982). Power-associative products on matrices. 9 indexed citations

11.

Benkart, Georgia. (1982). Construction of examples of Lie-admissible algebras. 2 indexed citations

12.

Benkart, Georgia, J. Marshall Osborn, & D. J. Britten. (1981). Applications of isotopy to real division algebras. 4(2). 497–529. 7 indexed citations

13.

Benkart, Georgia & J. Marshall Osborn. (1981). Real division algebras and other algebras motivated by physics. 4. 392–443. 6 indexed citations

14.

Benkart, Georgia & J. Marshall Osborn. (1981). Flexible Lie-admissible algebras. Journal of Algebra. 71(1). 11–31. 23 indexed citations

15.

Benkart, Georgia & J. Marshall Osborn. (1981). An investigation of real division algebras using derivations. Pacific Journal of Mathematics. 96(2). 265–300. 46 indexed citations

16.

Benkart, Georgia, I. M. Isaacs, & J. Marshall Osborn. (1979). Albert-Zassenhaus Lie algebras and isomorphisms. Journal of Algebra. 57(2). 310–338. 10 indexed citations

17.

Benkart, Georgia, I. M. Isaacs, & J. Marshall Osborn. (1979). Lie algebras with self-centralizing ad-nilpotent elements. Journal of Algebra. 57(2). 279–309. 12 indexed citations

18.

Benkart, Georgia & I. M. Isaacs. (1979). Lie Algebras with Nilpotent Centralizers. Canadian Journal of Mathematics. 31(5). 929–941. 8 indexed citations

19.

Benkart, Georgia & I. M. Isaacs. (1977). On the existence of ad-nilpotent elements. Proceedings of the American Mathematical Society. 63(1). 39–40. 9 indexed citations

20.

Benkart, Georgia. (1977). On inner ideals and ad-nilpotent elements of Lie algebras. Transactions of the American Mathematical Society. 232(0). 61–81. 50 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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