Concepedia

Irreducible Representations

Irreducible Representation is a minimal matrix representation of a group that cannot be reduced into smaller equivalent representations through similarity transformations, serving as a fundamental building block for decomposing the symmetry operations of point groups in molecular symmetry and angular momentum theory.

5.8K

Publications

282K

Citations

6.3K

Authors

1.7K

Institutions

Publications per year

2017–2026

542

Variants

Irreducible Representations Of GroupsIrreps

Parents

Publications

5.8K

Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape

J. Morlet · SIAM Journal on Mathematical Analysis · 1984 · 3.6K citations

, , +12

Representation theory of finite groups and associative algebras

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

, , +14

Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

Chongming Yang · Physical Review Letters · 1967 · 2.4K citations

, , +14

Character theory of finite groups

Choice Reviews Online · 1999 · 2.2K citations · Full text

, , +13

Representations of Coxeter groups and Hecke algebras

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

, , +12

1–5 of 5.8K

Authors

6.3K

  1. GL
    G. Lusztig

    Massachusetts Institute of Technology, United States

    30 publications · 4.6K citations

    23

    h-index

  2. PH
    Pham Huu Tiep

    University of Arizona, United States

    27 publications · 1K citations

    18

    h-index

  3. MM
    M. Moshińsky

    Universidad Nacional Autónoma de México, Mexico

    20 publications · 1.1K citations

    17

    h-index

  4. JP
    J. Patera

    Université de Montréal, Canada

    22 publications · 638 citations

    17

    h-index

  5. GM
    Gunter Malle

    University of Kaiserslautern, Germany

    22 publications · 894 citations

    17

    h-index

1–5 of 6.3K

Institutions

1.7K

  1. Massachusetts Institute of Technology

    Cambridge, United States

    47 h-index

    128 publications

    12.2K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    42 h-index

    202 publications

    8.8K citations

  3. Kyoto University

    Kyoto, Japan

    35 h-index

    136 publications

    6.1K citations

  4. Yale University

    New Haven, United States

    30 h-index

    78 publications

    3.9K citations

  5. Institute for Advanced Study

    Princeton, United States

    29 h-index

    52 publications

    3.7K citations

  6. The University of Tokyo

    Tokyo, Japan

    28 h-index

    80 publications

    4.4K citations

  7. University of Cambridge

    Cambridge, United Kingdom

    28 h-index

    59 publications

    5.1K citations

  8. University of California, Berkeley

    Berkeley, United States

    26 h-index

    56 publications

    5.3K citations

1–8 of 1.7K

Venues

  1. Journal of Mathematical Physics

    517 publications · 22.3K citations

    69

    h-index

  2. Journal of Algebra

    282 publications · 10.4K citations

    54

    h-index

  3. Annals of Mathematics

    70 publications · 10.6K citations

    49

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 168 publications · 8.1K citations

    47

    h-index

  5. The Journal of Chemical Physics

    98 publications · 6.4K citations

    43

    h-index

1–5