James Lepowsky

8.7k total citations · 2 hit papers
69 papers, 4.1k citations indexed

About

James Lepowsky is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, James Lepowsky has authored 69 papers receiving a total of 4.1k indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Algebra and Number Theory, 47 papers in Geometry and Topology and 38 papers in Mathematical Physics. Recurrent topics in James Lepowsky's work include Algebraic structures and combinatorial models (42 papers), Advanced Topics in Algebra (39 papers) and Advanced Algebra and Geometry (30 papers). James Lepowsky is often cited by papers focused on Algebraic structures and combinatorial models (42 papers), Advanced Topics in Algebra (39 papers) and Advanced Algebra and Geometry (30 papers). James Lepowsky collaborates with scholars based in United States, Netherlands and China. James Lepowsky's co-authors include Robert Lee Wilson, Yi-Zhi Huang, Chongying Dong, Igor Frenkel, S. Mandelstam, I. M. Singer, Howard Garland, Mirko Primc, Arne Meurman and Stephen C. Milne and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

James Lepowsky

66 papers receiving 3.7k citations

Hit Papers

On axiomatic approaches to vertex operator algebras and m... 1993 2026 2004 2015 1993 2004 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. On axiomatic approaches to vertex operator algebras and modules
    1993 481 citations Yi-Zhi Huang, James Lepowsky et al. profile →
  2. Introduction to Vertex Operator Algebras and Their Representations
    2004 383 citations James Lepowsky et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
James Lepowsky United States 28 3.6k 2.9k 1.8k 1.5k 567 69 4.1k
Igor Frenkel United States 24 3.1k 0.9× 2.2k 0.7× 1.9k 1.0× 1.1k 0.7× 287 0.5× 53 3.5k
Christian Kassel France 17 3.2k 0.9× 2.5k 0.8× 1.3k 0.7× 1.8k 1.2× 357 0.6× 38 3.8k
Boris Feigin Russia 32 2.6k 0.7× 1.6k 0.5× 1.4k 0.8× 989 0.7× 280 0.5× 134 2.9k
Vyjayanthi Chari United States 25 2.4k 0.7× 1.9k 0.6× 1.3k 0.7× 966 0.7× 314 0.6× 77 2.6k
Vladimir G. Turaev Russia 18 2.6k 0.7× 547 0.2× 535 0.3× 2.0k 1.4× 589 1.0× 36 3.1k
Maxim Kontsevich France 20 2.3k 0.7× 1.2k 0.4× 1.0k 0.6× 2.1k 1.4× 267 0.5× 44 3.3k
David Kazhdan United States 29 3.2k 0.9× 1.8k 0.6× 933 0.5× 2.7k 1.8× 1.1k 2.0× 96 4.0k
Shahn Majid United Kingdom 31 3.0k 0.8× 2.3k 0.8× 2.3k 1.2× 1.7k 1.2× 158 0.3× 146 4.2k
Giovanni Felder Switzerland 26 1.5k 0.4× 776 0.3× 1.2k 0.6× 988 0.7× 106 0.2× 90 2.4k
Hiraku Nakajima Japan 27 2.5k 0.7× 822 0.3× 995 0.5× 1.3k 0.9× 435 0.8× 59 2.9k

Countries citing papers authored by James Lepowsky

Since Specialization
Citations

This map shows the geographic impact of James Lepowsky'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 James Lepowsky with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites James Lepowsky more than expected).

Fields of papers citing papers by James Lepowsky

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by James Lepowsky. 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 James Lepowsky. The network helps show where James Lepowsky may publish in the future.

Co-authorship network of co-authors of James Lepowsky

This figure shows the co-authorship network connecting the top 25 collaborators of James Lepowsky. A scholar is included among the top collaborators of James Lepowsky 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 James Lepowsky. James Lepowsky is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kanade, Shashank, et al.. (2016). Ghost series and a motivated proof of the Andrews–Bressoud identities. Journal of Combinatorial Theory Series A. 146. 33–62. 1 indexed citations
2.
Lepowsky, James, et al.. (2009). Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types A,D,E. Journal of Algebra. 323(1). 167–192. 25 indexed citations
3.
Lepowsky, James, et al.. (2008). Vertex-algebraic structure of the principal subspaces of certain A1(1)-modules, II: Higher-level case. Journal of Pure and Applied Algebra. 212(8). 1928–1950. 24 indexed citations
4.
Lepowsky, James, et al.. (2006). An equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebras. Journal of Pure and Applied Algebra. 210(3). 797–826. 17 indexed citations
5.
Huang, Yi-Zhi, et al.. (2000). Factorization of Formal Exponentials and Uniformization. Journal of Algebra. 228(2). 551–579. 8 indexed citations
6.
Huang, Yi-Zhi & James Lepowsky. (1997). Affine Lie algebras and vertex tensor categories. arXiv (Cornell University). 1 indexed citations
7.
Corwin, Lawrence, et al.. (1993). The Gelfand Mathematical Seminars. Birkhäuser eBooks. 5 indexed citations
8.
Lepowsky, James & Mirko Primc. (1985). Structure of the standard modules for the affine Lie algebra A[(1)] [1]. CERN Document Server (European Organization for Nuclear Research). 44 indexed citations
9.
Lepowsky, James & Robert Lee Wilson. (1982). A lie theoretic interpretation and proof of the Rogers-Ramanujan identities. Advances in Mathematics. 45(1). 21–72. 57 indexed citations
10.
Lepowsky, James. (1980). Application of the numerator formula to k-rowed plane partitions. Advances in Mathematics. 35(2). 179–194. 14 indexed citations
11.
Lepowsky, James. (1978). Lectures on Kac-Moody Lie algebras. In-house reproduction eBooks. 30 indexed citations
12.
Lepowsky, James. (1978). Minimal K-types for certain representations of real semisimple groups. Journal of Algebra. 51(1). 173–210. 1 indexed citations
13.
Lepowsky, James. (1978). Macdonald-type identities. Advances in Mathematics. 27(3). 230–234. 18 indexed citations
14.
Lepowsky, James & Stephen C. Milne. (1978). Lie algebraic approaches to classical partition identities. Advances in Mathematics. 29(1). 15–59. 87 indexed citations
15.
Feingold, Alex J. & James Lepowsky. (1978). The Weyl-Kac character formula and power series identities. Advances in Mathematics. 29(3). 271–309. 40 indexed citations
16.
Lepowsky, James. (1977). Generalized Verma modules, the Cartan-Helgason theorem, and the Harish-Chandra homomorphism. Journal of Algebra. 49(2). 470–495. 36 indexed citations
17.
Lepowsky, James. (1977). A generalization of the Bernstein-Gelfand-Gelfand resolution. Journal of Algebra. 49(2). 496–511. 80 indexed citations
18.
Lepowsky, James. (1976). On the uniqueness of conical vectors. Proceedings of the American Mathematical Society. 57(2). 217–220. 7 indexed citations
19.
Lepowsky, James. (1975). Conical vectors in induced modules. Transactions of the American Mathematical Society. 208(0). 219–272. 23 indexed citations
20.
Lepowsky, James. (1973). Algebraic Results on Representations of Semisimple Lie Groups. Transactions of the American Mathematical Society. 176. 1–1. 19 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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