Concepedia

Quantum Groups

Quantum Groups is a noncommutative algebraic structure that generalizes universal enveloping algebras of Lie algebras through a deformation parameter, enabling the study of symmetries in noncommutative geometry and quantum integrable systems.

4.5K

Publications

241.5K

Citations

4K

Authors

1.3K

Institutions

Publications per year

2017–2026

458

Parents

Publications

4.5K

Density matrix formulation for quantum renormalization groups

Steven R. White · Physical Review Letters · 1992 · 7.8K citations

, , +12

On the generators of quantum dynamical semigroups

Göran Lindblad · Communications in Mathematical Physics · 1976 · 7.6K citations

, , +12

Aq-difference analogue of U(g) and the Yang-Baxter equation

Michio Jimbo · Letters in Mathematical Physics · 1985 · 2.7K citations

, , +14

Noncommutative Geometry

Alain Connes, Joachim Cuntz, Marc A. Rieffel · Oberwolfach Reports · 2010 · 2.3K citations

, , +17

Generalized global symmetries

Davide Gaiotto, Anton Kapustin, Nathan Seiberg et al. · Journal of High Energy Physics · 2015 · 1.7K citations · Full text

, , +16

1–5 of 4.5K

Authors

4K

  1. SM
    Shahn Majid

    University of Cambridge, United Kingdom

    51 publications · 3.1K citations

    29

    h-index

  2. TB
    Teodor Banica

    CY Cergy Paris Université, France

    25 publications · 1.4K citations

    21

    h-index

  3. SL
    S. L. Woronowicz

    University of Warsaw, Poland

    21 publications · 2.8K citations

    19

    h-index

  4. PE
    Pavel Etingof

    Massachusetts Institute of Technology, United States

    23 publications · 1.1K citations

    19

    h-index

  5. PP
    P. P. Kulish

    Steklov Mathematical Institute, Russia

    24 publications · 2.8K citations

    18

    h-index

1–5 of 4K

Institutions

1.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    43 h-index

    224 publications

    9K citations

  2. Kyoto University

    Kyoto, Japan

    38 h-index

    124 publications

    9.6K citations

  3. University of Cambridge

    Cambridge, United Kingdom

    35 h-index

    84 publications

    7.5K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    34 h-index

    66 publications

    5.5K citations

  5. Harvard University

    Cambridge, United States

    32 h-index

    64 publications

    9K citations

  6. University of California, Berkeley

    Berkeley, United States

    31 h-index

    66 publications

    7.3K citations

  7. The University of Tokyo

    Tokyo, Japan

    31 h-index

    92 publications

    4.9K citations

  8. Steklov Mathematical Institute

    Moscow, Russia

    30 h-index

    73 publications

    8.6K citations

1–8 of 1.3K

Venues

  1. Communications in Mathematical Physics

    294 publications · 31.6K citations

    82

    h-index

  2. Journal of Mathematical Physics

    328 publications · 12.7K citations

    55

    h-index

  3. Nuclear Physics B

    146 publications · 9.8K citations

    53

    h-index

  4. Journal of Physics A Mathematical and General

    234 publications · 12.7K citations

    50

    h-index

  5. Journal of Algebra

    213 publications · 8.3K citations

    47

    h-index

1–5