Bertram Kostant

12.6k total citations · 2 hit papers
76 papers, 4.7k citations indexed

About

Bertram Kostant is a scholar working on Mathematical Physics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Bertram Kostant has authored 76 papers receiving a total of 4.7k indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Mathematical Physics, 38 papers in Algebra and Number Theory and 36 papers in Geometry and Topology. Recurrent topics in Bertram Kostant's work include Advanced Algebra and Geometry (43 papers), Advanced Topics in Algebra (37 papers) and Algebraic structures and combinatorial models (25 papers). Bertram Kostant is often cited by papers focused on Advanced Algebra and Geometry (43 papers), Advanced Topics in Algebra (37 papers) and Algebraic structures and combinatorial models (25 papers). Bertram Kostant collaborates with scholars based in United States, India and Netherlands. Bertram Kostant's co-authors include Stephen Rallis, Shrawan Kumar, David Kazhdan, S. Sternberg, L. Auslander, Shlomo Sternberg, Ranee Brylinski, Alex Rosenberg, G. Hochschild and Siddhartha Sahi and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Physics and Annals of Mathematics.

In The Last Decade

Bertram Kostant

72 papers receiving 3.8k citations

Hit Papers

Lie Group Representations on Polynomial Rings 1963 2026 1984 2005 1963 1978 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. Lie Group Representations on Polynomial Rings
    1963 457 citations Bertram Kostant profile →
  2. On Whittaker vectors and representation theory
    1978 336 citations Bertram Kostant profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Bertram Kostant United States 33 3.3k 3.2k 2.1k 1.1k 836 76 4.7k
James E. Humphreys United States 18 4.5k 1.4× 3.7k 1.1× 2.5k 1.2× 914 0.9× 2.5k 3.0× 43 6.4k
Don Zagier Germany 37 3.3k 1.0× 3.4k 1.1× 2.9k 1.4× 513 0.5× 1.2k 1.5× 152 5.6k
Harish-chandra Harish-Chandra United States 32 2.2k 0.7× 3.5k 1.1× 1.4k 0.7× 463 0.4× 642 0.8× 60 4.4k
David Kazhdan United States 29 3.2k 1.0× 2.7k 0.9× 1.8k 0.9× 933 0.9× 1.1k 1.4× 96 4.0k
Nolan R. Wallach United States 28 2.3k 0.7× 2.3k 0.7× 1.1k 0.5× 456 0.4× 494 0.6× 124 3.8k
Graeme Segal United Kingdom 25 2.7k 0.8× 2.7k 0.8× 1.5k 0.7× 971 0.9× 192 0.2× 48 3.9k
Michèle Vergne France 26 1.6k 0.5× 2.1k 0.6× 1.2k 0.6× 467 0.4× 505 0.6× 83 3.1k
Raoul Bott United States 25 3.3k 1.0× 3.0k 0.9× 865 0.4× 731 0.7× 382 0.5× 42 5.2k
Masaki Kashiwara Japan 43 6.0k 1.8× 3.5k 1.1× 3.2k 1.6× 2.7k 2.6× 1.4k 1.7× 188 7.5k
Vladimir Drinfeld United States 25 3.1k 1.0× 1.6k 0.5× 1.7k 0.8× 2.0k 1.9× 233 0.3× 46 4.3k

Countries citing papers authored by Bertram Kostant

Since Specialization
Citations

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

Fields of papers citing papers by Bertram Kostant

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bertram Kostant

This figure shows the co-authorship network connecting the top 25 collaborators of Bertram Kostant. A scholar is included among the top collaborators of Bertram Kostant 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 Bertram Kostant. Bertram Kostant 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.
2.
Kostant, Bertram. (1995). The Graph of the Truncated Icosahedron and the Last Letter of Galois. Mitteilungen der Deutschen Mathematiker-Vereinigung. 3(4). 12 indexed citations
3.
Brylinski, Ranee & Bertram Kostant. (1992). Nilpotent orbits, normality and Hamiltonian group actions. Bulletin of the American Mathematical Society. 26(2). 269–275. 10 indexed citations
4.
Kostant, Bertram & Siddhartha Sahi. (1991). The Capelli identity, tube domains, and the generalized Laplace transform. Advances in Mathematics. 87(1). 71–92. 33 indexed citations
5.
Kostant, Bertram & Shrawan Kumar. (1986). The nil Hecke ring and cohomology of GP for a Kac-Moody group G. Advances in Mathematics. 62(3). 187–237. 136 indexed citations
6.
Kostant, Bertram. (1981). A Lie algebra generalization of the Amitsur-Levitski theorem. Advances in Mathematics. 40(2). 155–175. 13 indexed citations
7.
Kostant, Bertram. (1979). The solution to a generalized Toda lattice and representation theory. Advances in Mathematics. 34(3). 195–338. 371 indexed citations
8.
Kazhdan, David, Bertram Kostant, & S. Sternberg. (1978). Hamiltonian group actions and dynamical systems of calogero type. Communications on Pure and Applied Mathematics. 31(4). 481–507. 240 indexed citations
9.
Kostant, Bertram & Juan Tirao. (1976). On the Structure of Certain Subalgebras of a Universal Enveloping Algebra. Transactions of the American Mathematical Society. 218. 133–133. 3 indexed citations
10.
Kostant, Bertram. (1976). On Macdonald's η-function formula, the Laplacian and generalized exponents. Advances in Mathematics. 20(2). 179–212. 48 indexed citations
11.
Kostant, Bertram. (1969). On the existence and irreducibility of certain series of representations. Bulletin of the American Mathematical Society. 75(4). 627–643. 168 indexed citations
12.
Kostant, Bertram & Stephen Rallis. (1969). On orbits associated with symmetric spaces. Bulletin of the American Mathematical Society. 75(4). 879–884. 12 indexed citations
13.
Kostant, Bertram. (1965). Eigenvalues of a Laplacian and commutative Lie subalgebras. Topology. 3. 147–159. 38 indexed citations
14.
Kostant, Bertram. (1963). Lie Algebra Cohomology and Generalized Schubert Cells. Annals of Mathematics. 77(1). 72–72. 41 indexed citations
15.
Hochschild, G., Bertram Kostant, & Alex Rosenberg. (1962). Differential forms on regular affine algebras. Transactions of the American Mathematical Society. 102(3). 383–408. 92 indexed citations
16.
Kostant, Bertram. (1959). A formula for the multiplicity of a weight. Transactions of the American Mathematical Society. 93(1). 53–73. 90 indexed citations
17.
Kostant, Bertram. (1958). A Theorem of Frobenius, a Theorem of Amitsur-Levitski and Cohomology Theory*. Indiana University Mathematics Journal. 7(2). 237–264. 19 indexed citations
18.
Kostant, Bertram. (1955). Holonomy and the Lie Algebra of Infinitesimal Motions of a Riemannian Manifold. Transactions of the American Mathematical Society. 80(2). 528–528. 13 indexed citations
19.
Kostant, Bertram. (1955). Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold. Transactions of the American Mathematical Society. 80(2). 528–542. 33 indexed citations
20.
Kostant, Bertram. (1955). ON THE CONJUGACY OF REAL CARTAN SUBALGEBRAS. I. Proceedings of the National Academy of Sciences. 41(11). 967–970. 44 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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