Concepedia

Weyl Character Formula

The Weyl Character Formula is a fundamental theorem in representation theory that belongs to the class of character formulas for Lie groups and Lie algebras, distinguished by its explicit expression of the character of an irreducible representation of a compact Lie group in terms of the weights of the representation and the Weyl group action on the root system.

440

Publications

19.6K

Citations

599

Authors

348

Institutions

Publications per year

2017–2026

29

Parents

Publications

440

On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations I

Ky Fan · Proceedings of the National Academy of Sciences · 1949 · 1K citations · Full text

, , +11

Order α′ (two-loop) equivalence of the string equations of motion and the σ-model Weyl invariance conditions

R.R. Metsaev, A.A. Tseytlin · Nuclear Physics B · 1987 · 682 citations

, , +13

On Whittaker vectors and representation theory

Bertram Kostant · Inventiones mathematicae · 1978 · 625 citations

, , +10

The weyl calculus of pseudo‐differential operators

Lars Hörmander · Communications on Pure and Applied Mathematics · 1979 · 540 citations

, , +9

Trigonometric sums, green functions of finite groups and representations of Weyl groups

T. A. Springer · Inventiones mathematicae · 1976 · 363 citations

, , +10

1–5 of 440

Authors

599

  1. GL
    G. Lusztig

    Massachusetts Institute of Technology, United States

    5 publications · 220 citations

    5

    h-index

  2. TA
    T. A. Springer

    Utrecht University, Netherlands

    5 publications · 810 citations

    5

    h-index

  3. JR
    John R. Stembridge

    University of Michigan, United States

    5 publications · 234 citations

    5

    h-index

  4. JS
    Jian-yi Shi

    East China Normal University, China

    4 publications · 113 citations

    4

    h-index

  5. JT
    Joachim Toft

    Linnaeus University, Sweden

    4 publications · 99 citations

    4

    h-index

1–5 of 599

Institutions

348

  1. Massachusetts Institute of Technology

    Cambridge, United States

    13 h-index

    22 publications

    2K citations

  2. Imperial College London

    London, United Kingdom

    8 h-index

    10 publications

    482 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    8 publications

    301 citations

  4. East China Normal University

    Shanghai, China

    7 h-index

    7 publications

    185 citations

  5. Yale University

    New Haven, United States

    7 h-index

    10 publications

    379 citations

  6. The University of Sydney

    Sydney, Australia

    7 h-index

    8 publications

    181 citations

  7. University of Michigan

    Ann Arbor, United States

    6 h-index

    7 publications

    285 citations

  8. European Organization for Nuclear Research

    Geneva, Switzerland

    6 h-index

    9 publications

    294 citations

1–8 of 348

Venues

  1. Journal of Algebra

    43 publications · 1.4K citations

    22

    h-index

  2. Physics Letters B

    17 publications · 571 citations

    14

    h-index

  3. Advances in Mathematics

    18 publications · 926 citations

    14

    h-index

  4. Journal of Functional Analysis

    15 publications · 632 citations

    14

    h-index

  5. Nuclear Physics B

    15 publications · 1.4K citations

    14

    h-index

1–5