Concepedia

Representations Of Groups

Representations of Groups is a mathematical framework that assigns linear transformations on vector spaces to elements of a group in a manner that preserves the group structure, thereby enabling the study of abstract groups through concrete linear algebraic operations.

1.4K

Publications

72.3K

Citations

1.5K

Authors

607

Institutions

Publications per year

2017–2026

55

Variants

Group RepresentationGroup Representations

Parents

Publications

1.4K

Representation theory of finite groups and associative algebras

USSR Computational Mathematics and Mathematical Physics · 1964 · 2.7K citations

, , +14

On the Contraction of Groups and Their Representations

Erdal İnönü, E. P. Wigner · Proceedings of the National Academy of Sciences · 1953 · 1.2K citations · Full text

, , +11

Representation Theory of Finite Groups and Associative Algebras.

F. E. J. Linton, Charles W. Curtis, Irving Reiner · American Mathematical Monthly · 1965 · 1K citations

, , +14

Endomorphisms of linear algebraic groups

Robert Steinberg · Memoirs of the American Mathematical Society · 1968 · 909 citations

, , +10

Representations of Reductive Groups Over Finite Fields

Pierre Deligne, G. Lusztig · Annals of Mathematics · 1976 · 798 citations

, , +9

1–5 of 1.4K

Authors

1.5K

  1. PH
    Pham Huu Tiep

    University of Arizona, United States

    12 publications · 429 citations

    12

    h-index

  2. RM
    Robert M. Guralnick

    University of Southern California, United States

    11 publications · 473 citations

    10

    h-index

  3. GL
    G. Lusztig

    Massachusetts Institute of Technology, United States

    9 publications · 1.4K citations

    9

    h-index

  4. AM
    A. M. Vershik

    Steklov Mathematical Institute, Russia

    9 publications · 522 citations

    9

    h-index

  5. GM
    Gunter Malle

    University of Kaiserslautern, Germany

    8 publications · 374 citations

    8

    h-index

1–5 of 1.5K

Institutions

607

  1. University of Oregon

    Eugene, United States

    14 h-index

    20 publications

    778 citations

  2. Institute for Advanced Study

    Princeton, United States

    14 h-index

    18 publications

    1.9K citations

  3. University of Chicago

    Chicago, United States

    13 h-index

    20 publications

    900 citations

  4. University of Cambridge

    Cambridge, United Kingdom

    13 h-index

    17 publications

    452 citations

  5. University of California, Berkeley

    Berkeley, United States

    13 h-index

    16 publications

    928 citations

  6. Yale University

    New Haven, United States

    13 h-index

    19 publications

    896 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    13 h-index

    19 publications

    2.7K citations

  8. University of Southern California

    Los Angeles, United States

    13 h-index

    19 publications

    857 citations

1–8 of 607

Venues

  1. Journal of Algebra

    120 publications · 3.7K citations

    34

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 69 publications · 3.2K citations

    33

    h-index

  3. Journal of Mathematical Physics

    90 publications · 4K citations

    31

    h-index

  4. Pacific Journal of Mathematics

    49 publications · 2K citations

    29

    h-index

  5. Annals of Mathematics

    31 publications · 5.3K citations

    27

    h-index

1–5