Concepedia

Group Representation Theory

Group Representation Theory is a branch of abstract algebra that studies algebraic structures known as groups by representing their elements as linear transformations of vector spaces, thereby enabling the analysis of group properties through matrix operations and symmetry in mathematical and physical systems.

2.3K

Publications

114.4K

Citations

2.7K

Authors

966

Institutions

Publications per year

2017–2026

198

Parents

Publications

2.3K

Representation theory of finite groups and associative algebras

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

, , +14

Group theory for unified model building

R. Slansky · Physics Reports · 1981 · 1.4K citations

, , +13

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

A Method of Matrix Analysis of Group Structure

R. Duncan Luce, Albert D. Perry · Psychometrika · 1949 · 984 citations

, , +10

1–5 of 2.3K

Authors

2.7K

  1. WM
    Willard Miller

    University of Minnesota, United States

    13 publications · 561 citations

    12

    h-index

  2. PE
    Pavel Etingof

    Massachusetts Institute of Technology, United States

    11 publications · 620 citations

    11

    h-index

  3. PH
    Pham Huu Tiep

    University of Arizona, United States

    10 publications · 372 citations

    10

    h-index

  4. RB
    Richard Brauer

    Harvard University Press, United States

    10 publications · 668 citations

    10

    h-index

  5. AK
    Alexander Kleshchev

    University of Oregon, United States

    8 publications · 316 citations

    8

    h-index

1–5 of 2.7K

Institutions

966

  1. Institute for Advanced Study

    Princeton, United States

    23 h-index

    32 publications

    3K citations

  2. University of California, Berkeley

    Berkeley, United States

    22 h-index

    34 publications

    2.4K citations

  3. Yale University

    New Haven, United States

    22 h-index

    44 publications

    2.9K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    21 h-index

    42 publications

    5.9K citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    17 h-index

    34 publications

    2.1K citations

  6. The University of Sydney

    Sydney, Australia

    16 h-index

    22 publications

    900 citations

  7. University of Toronto

    Toronto, Canada

    15 h-index

    30 publications

    1.1K citations

  8. University of Chicago

    Chicago, United States

    15 h-index

    27 publications

    1.4K citations

1–8 of 966

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 105 publications · 5K citations

    41

    h-index

  2. Journal of Mathematical Physics

    152 publications · 6.5K citations

    40

    h-index

  3. Journal of Algebra

    126 publications · 4.5K citations

    37

    h-index

  4. Pacific Journal of Mathematics

    53 publications · 2.1K citations

    32

    h-index

  5. arXiv (Cornell University)

    Repository · 82 publications · 2.8K citations

    27

    h-index

1–5