Concepedia

Hecke Characters

A Hecke Character is a continuous homomorphism from the idele class group of a number field to the nonzero complex numbers, distinguished by its algebraic nature and finite-order behavior at archimedean places, that generalizes Dirichlet characters and plays a central role in the theory of complex multiplication and L-functions.

312

Publications

16.9K

Citations

330

Authors

228

Institutions

Publications per year

2017–2026

18

Parents

Publications

312

Representations of Coxeter groups and Hecke algebras

David Kazhdan, G. Lusztig · Inventiones mathematicae · 1979 · 1.7K citations

, , +12

A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation

Michio Jimbo · Letters in Mathematical Physics · 1986 · 1.5K citations

, , +13

Affine Hecke algebras and their graded version

G. Lusztig · Journal of the American Mathematical Society · 1989 · 629 citations

, , +11

Harmonic analysis for certain representations of graded Hecke algebras

Eric Opdam · Acta Mathematica · 1995 · 473 citations · Full text

, , +12

Representations of Hecke Algebras of General Linear Groups

Richard Dipper, Gordon James · Proceedings of the London Mathematical Society · 1986 · 440 citations

, , +12

1–5 of 312

Authors

330

  1. EO
    Eric Opdam

    University of Amsterdam, Netherlands

    7 publications · 638 citations

    7

    h-index

  2. GL
    G. Lusztig

    Massachusetts Institute of Technology, United States

    5 publications · 2.8K citations

    5

    h-index

  3. IM
    I. M. Isaacs

    University of Wisconsin–Madison, United States

    5 publications · 196 citations

    5

    h-index

  4. DE
    David E. Rohrlich

    Rutgers, The State University of New Jersey, United States

    5 publications · 141 citations

    5

    h-index

  5. MG
    Meinolf Geck

    RWTH Aachen University, Germany

    4 publications · 208 citations

    4

    h-index

1–5 of 330

Institutions

228

  1. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    9 publications

    324 citations

  2. Kyoto University

    Kyoto, Japan

    7 h-index

    7 publications

    1.8K citations

  3. University of Wisconsin–Madison

    Madison, United States

    6 h-index

    7 publications

    115 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    5 publications

    114 citations

  5. Université Paris Cité

    Paris, France

    6 h-index

    6 publications

    109 citations

  6. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    5 h-index

    5 publications

    82 citations

  7. University of California San Diego

    San Diego, United States

    5 h-index

    5 publications

    275 citations

  8. The University of Tokyo

    Tokyo, Japan

    5 h-index

    6 publications

    131 citations

1–8 of 228

Venues

  1. Journal of Algebra

    41 publications · 1.5K citations

    23

    h-index

  2. Inventiones mathematicae

    15 publications · 2.8K citations

    14

    h-index

  3. Duke Mathematical Journal

    DMJ · 14 publications · 444 citations

    13

    h-index

  4. Advances in Mathematics

    15 publications · 1.1K citations

    12

    h-index

  5. Journal of Number Theory

    10 publications · 209 citations

    10

    h-index

1–5