Concepedia

Symmetric Function Theory

Symmetric Function Theory is a branch of algebraic combinatorics that systematically studies symmetric functions—formal power series invariant under permutations of variables—as they relate to the representation theory of symmetric groups and general linear groups, with deep connections to Young tableaux, Schur functions, and Hall algebras.

541

Publications

25.6K

Citations

704

Authors

403

Institutions

Publications per year

2017–2026

58

Parents

Publications

541

The symmetric group: representations, combinatorial algorithms, and symmetric functions

Choice Reviews Online · 1992 · 750 citations

, , +16

A new approach to generalized metric spaces

Zead Mustafa, Brailey Sims · 2006 · 700 citations

, , +7

Some combinatorial properties of Jack symmetric functions

Richard P. Stanley · Advances in Mathematics · 1989 · 612 citations

, , +6

A conference key distribution system

Ingemar Ingemarsson, Deng Tang, Ching Wong · IEEE Transactions on Information Theory · 1982 · 548 citations

, , +12

Functions of positive and negative type, and their connection with the theory of integral equations

James W. Mercer · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1909 · 486 citations · Full text

, , +6

1–5 of 541

Authors

704

  1. JT
    Jean‐Yves Thibon

    Laboratoire d'Informatique Gaspard-Monge, France

    18 publications · 1.4K citations

    16

    h-index

  2. JB
    Jeffrey B. Remmel

    University of California San Diego, United States

    12 publications · 673 citations

    11

    h-index

  3. JN
    Jean-Christophe Novelli

    Laboratoire d'Informatique Gaspard-Monge, France

    10 publications · 327 citations

    10

    h-index

  4. AM
    Adriano M. Garsia

    University of California San Diego, United States

    10 publications · 298 citations

    10

    h-index

  5. IP
    I. P. Goulden

    University of Waterloo, Canada

    9 publications · 444 citations

    9

    h-index

1–5 of 704

Institutions

403

  1. Massachusetts Institute of Technology

    Cambridge, United States

    20 h-index

    35 publications

    2.4K citations

  2. University of California San Diego

    San Diego, United States

    15 h-index

    34 publications

    1.3K citations

  3. Laboratoire d'Informatique Gaspard-Monge

    Champs-sur-Marne, France

    13 h-index

    28 publications

    1.8K citations

  4. York University

    Toronto, Canada

    13 h-index

    26 publications

    1.3K citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    12 publications

    418 citations

  6. Université du Québec à Montréal

    Montreal, Canada

    11 h-index

    16 publications

    1.3K citations

  7. University of Michigan

    Ann Arbor, United States

    10 h-index

    10 publications

    268 citations

  8. Université Paris Cité

    Paris, France

    8 h-index

    14 publications

    1.8K citations

1–8 of 403

Venues

  1. arXiv (Cornell University)

    Repository · 23 publications · 539 citations

    15

    h-index

  2. IEEE Transactions on Information Theory

    17 publications · 1.4K citations

    15

    h-index

  3. Journal of Combinatorial Theory Series A

    20 publications · 581 citations

    15

    h-index

  4. Advances in Mathematics

    19 publications · 1.8K citations

    14

    h-index

  5. ArXiv.org

    Repository · 16 publications · 645 citations

    13

    h-index

1–5