Concepedia

Reduction Of Representations

Reduction of Representations is a method in group theory that decomposes a given group representation into a direct sum of irreducible representations, thereby characterizing its structure by identifying the constituent irreducible components under group actions.

221

Publications

9.1K

Citations

290

Authors

186

Institutions

Publications per year

2017–2026

8

Parents

Publications

221

Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

Andrei Zelevinsky · Annales Scientifiques de l École Normale Supérieure · 1980 · 660 citations · Full text

, , +8

On the Number of Reduced Decompositions of Elements of Coxeter Groups

Richard P. Stanley · European Journal of Combinatorics · 1984 · 373 citations

, , +6

Representations Induced in an Invariant Subgroup

A. H. Clifford · Annals of Mathematics · 1937 · 321 citations

, , +13

On the existence and irreducibility of certain series of representations

Bertram Kostant · Bulletin of the American Mathematical Society · 1969 · 297 citations · Full text

, , +5

Weak Containment and Induced Representations of Groups

J. M. G. Fell · Canadian Journal of Mathematics · 1962 · 234 citations · Full text

, , +9

1–5 of 221

Authors

290

  1. RT
    R. T. Sharp

    McGill University, Canada

    5 publications · 193 citations

    5

    h-index

  2. VC
    Vyjayanthi Chari

    University of California, Riverside, United States

    4 publications · 184 citations

    4

    h-index

  3. VG
    Victor G. Kač

    Massachusetts Institute of Technology, United States

    3 publications · 258 citations

    3

    h-index

  4. GZ
    George Zoupanos

    National Technical University of Athens, Greece

    3 publications · 90 citations

    3

    h-index

  5. RJ
    Robert J. Blattner

    University of California, Los Angeles, United States

    3 publications · 103 citations

    3

    h-index

1–5 of 290

Institutions

186

  1. Massachusetts Institute of Technology

    Cambridge, United States

    5 h-index

    5 publications

    698 citations

  2. University of California, Riverside

    Riverside, United States

    4 h-index

    4 publications

    184 citations

  3. Université de Montréal

    Montreal, Canada

    4 h-index

    8 publications

    283 citations

  4. Syracuse University

    Syracuse, United States

    4 h-index

    5 publications

    186 citations

  5. National Technical University of Athens

    Athens, Greece

    4 h-index

    9 publications

    246 citations

  6. King's College London

    London, United Kingdom

    4 h-index

    4 publications

    174 citations

  7. McGill University

    Montreal, Canada

    3 h-index

    5 publications

    214 citations

  8. University of Utah

    Salt Lake City, United States

    3 h-index

    3 publications

    110 citations

1–8 of 186

Venues

  1. Journal of Mathematical Physics

    37 publications · 1.1K citations

    21

    h-index

  2. Journal of Algebra

    15 publications · 573 citations

    13

    h-index

  3. Journal of Physics A Mathematical and General

    11 publications · 179 citations

    10

    h-index

  4. American Journal of Mathematics

    7 publications · 207 citations

    7

    h-index

  5. Canadian Journal of Mathematics

    7 publications · 384 citations

    7

    h-index

1–5