Concepedia

Highest Weight Theory

Highest Weight Theory is a foundational framework in representation theory that classifies irreducible representations of semisimple Lie algebras by associating each representation with a unique maximal weight, called the highest weight, which determines the structure and character of the representation through dominance and integrality conditions.

285

Publications

11K

Citations

339

Authors

262

Institutions

Publications per year

2017–2026

43

Parents

Publications

285

Structure of representations with highest weight of infinite-dimensional Lie algebras

Victor G. Kač, David Kazhdan · Advances in Mathematics · 1979 · 335 citations

, , +13

Quasifinite highest weight modules over the Lie algebra of differential operators on the circle

Victor G. Kač, Andrey Radul · Communications in Mathematical Physics · 1993 · 270 citations · Full text

, , +15

Infinite flag varieties and conjugacy theorems

Dale H. Peterson, Victor G. Kač · Proceedings of the National Academy of Sciences · 1983 · 237 citations · Full text

, , +12

Flat holography: aspects of the dual field theory

Arjun Bagchi, Rudranil Basu, Ashish Kakkar et al. · Journal of High Energy Physics · 2016 · 232 citations · Full text

, , +15

A (q,γ) analog of the W1+∞ algebra

Kei Miki · Journal of Mathematical Physics · 2007 · 216 citations

, , +15

1–5 of 285

Authors

339

  1. JB
    Jonathan Brundan

    University of Oregon, United States

    8 publications · 591 citations

    8

    h-index

  2. CS
    Catharina Stroppel

    University of Bonn, Germany

    6 publications · 505 citations

    6

    h-index

  3. IL
    Ivan Losev

    Northeastern University, United States

    6 publications · 154 citations

    6

    h-index

  4. RB
    R. B. Zhang

    The University of Sydney, Australia

    5 publications · 207 citations

    5

    h-index

  5. VG
    Victor G. Kač

    Massachusetts Institute of Technology, United States

    5 publications · 952 citations

    5

    h-index

1–5 of 339

Institutions

262

  1. University of Bonn

    Bonn, Germany

    11 h-index

    14 publications

    901 citations

  2. Kyoto University

    Kyoto, Japan

    10 h-index

    17 publications

    472 citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    10 h-index

    12 publications

    2K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    12 publications

    628 citations

  5. University of Oregon

    Eugene, United States

    8 h-index

    12 publications

    871 citations

  6. The University of Queensland

    Brisbane, Australia

    7 h-index

    10 publications

    260 citations

  7. The University of Sydney

    Sydney, Australia

    7 h-index

    10 publications

    311 citations

  8. University of Toronto

    Toronto, Canada

    6 h-index

    7 publications

    214 citations

1–8 of 262

Venues

  1. Journal of Mathematical Physics

    32 publications · 1.5K citations

    21

    h-index

  2. arXiv (Cornell University)

    Repository · 22 publications · 429 citations

    15

    h-index

  3. Journal of High Energy Physics

    JHEP · 15 publications · 802 citations

    13

    h-index

  4. Journal of Physics A Mathematical and General

    13 publications · 375 citations

    12

    h-index

  5. Communications in Mathematical Physics

    11 publications · 762 citations

    11

    h-index

1–5