Concepedia

Cyclotomic Characters

Cyclotomic Characters is a continuous homomorphism from the absolute Galois group of a field to the multiplicative group of ℓ-adic units, defined by the action of the Galois group on the ℓ-power roots of unity, thereby encoding the arithmetic of cyclotomic extensions in a one-dimensional ℓ-adic representation.

170

Publications

6.2K

Citations

237

Authors

154

Institutions

Publications per year

2017–2026

15

Variants

Cyclotomic Character

Parents

Publications

170

The cyclotomic trace and algebraic K-theory of spaces

M. B�kstedt, W. C. Hsiang, Ib Madsen · Inventiones mathematicae · 1993 · 412 citations

, , +13

The Iwasawa Conjecture for Totally Real Fields

Andrew Wiles · Annals of Mathematics · 1990 · 347 citations

, , +13

Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras

Jonathan Brundan, Alexander Kleshchev · Inventiones mathematicae · 2009 · 319 citations · Full text

, , +11

Cyclotomy and difference families in elementary abelian groups

Richard M. Wilson · Journal of Number Theory · 1972 · 257 citations

, , +8

Graded decomposition numbers for cyclotomic Hecke algebras

Jonathan Brundan, Alexander Kleshchev · Advances in Mathematics · 2009 · 198 citations · Full text

, , +11

1–5 of 170

Authors

237

  1. TY
    Tongjiang Yan

    China University of Petroleum, East China, China

    5 publications · 93 citations

    5

    h-index

  2. MC
    Maria Chlouveraki

    Laboratoire de Mathématiques Blaise Pascal, France

    4 publications · 51 citations

    4

    h-index

  3. CD
    Cunsheng Ding

    Hong Kong University of Science and Technology, Hong Kong SAR China

    4 publications · 245 citations

    4

    h-index

  4. JB
    Joseph B. Muskat

    Princeton University, United States

    3 publications · 134 citations

    3

    h-index

  5. TH
    Tor Helleseth

    University of Bergen, Norway

    3 publications · 74 citations

    3

    h-index

1–5 of 237

Institutions

154

  1. Xidian University

    Xi'an, China

    5 h-index

    12 publications

    231 citations

  2. University of Bergen

    Bergen, Norway

    4 h-index

    7 publications

    183 citations

  3. Hong Kong University of Science and Technology

    Hong Kong, Hong Kong

    4 h-index

    4 publications

    167 citations

  4. Putian University

    Putian, China

    4 h-index

    4 publications

    63 citations

  5. Tokyo Metropolitan University

    Tokyo, Japan

    4 h-index

    4 publications

    147 citations

  6. Institute of Information Engineering

    Beijing, China

    4 h-index

    7 publications

    159 citations

  7. Chinese Academy of Sciences

    Beijing, China

    4 h-index

    7 publications

    159 citations

  8. China University of Petroleum, Beijing

    Beijing, China

    4 h-index

    6 publications

    113 citations

1–8 of 154

Venues

  1. Journal of Algebra

    20 publications · 522 citations

    13

    h-index

  2. Acta Arithmetica

    11 publications · 334 citations

    11

    h-index

  3. Journal of Number Theory

    13 publications · 599 citations

    11

    h-index

  4. Designs Codes and Cryptography

    8 publications · 197 citations

    8

    h-index

  5. American Journal of Mathematics

    7 publications · 221 citations

    7

    h-index

1–5