Concepedia

Lie Algebra Classification

Lie Algebra Classification is a mathematical framework that categorizes Lie algebras into distinct isomorphism classes based on structural invariants such as simplicity, solvability, and root system types, thereby organizing them according to their intrinsic algebraic properties and representation-theoretic behavior.

1K

Publications

39.4K

Citations

1.1K

Authors

596

Institutions

Publications per year

2017–2026

99

Parents

Publications

1K

SIMPLE GROUPS OF LIE TYPE

I. G. Macdonald · Bulletin of the London Mathematical Society · 1975 · 1.5K citations

, , +9

FINITE GROUPS OF LIE TYPE Conjugacy classes and complex characters

J. A. Green · Bulletin of the London Mathematical Society · 1987 · 658 citations

, , +8

Quarks: Currents and constituents

H. J. Melosh · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1974 · 471 citations

, , +12

SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH

Victor G. Kač · Mathematics of the USSR-Izvestiya · 1968 · 412 citations

, , +14

Spiders for rank 2 Lie algebras

Greg Kuperberg · Communications in Mathematical Physics · 1996 · 378 citations · Full text

, , +12

1–5 of 1K

Authors

1.1K

  1. VG
    Victor G. Kač

    Massachusetts Institute of Technology, United States

    19 publications · 1.4K citations

    14

    h-index

  2. PW
    P. Winternitz

    Université de Montréal, Canada

    13 publications · 919 citations

    12

    h-index

  3. YS
    Yucai Su

    Shanghai Jiao Tong University, China

    11 publications · 408 citations

    11

    h-index

  4. KZ
    Kaiming Zhao

    Wilfrid Laurier University, Canada

    11 publications · 294 citations

    11

    h-index

  5. HS
    Helmut Strade

    Universität Hamburg, Germany

    10 publications · 213 citations

    10

    h-index

1–5 of 1.1K

Institutions

596

  1. Université de Montréal

    Montreal, Canada

    19 h-index

    45 publications

    2.6K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    16 h-index

    27 publications

    1.3K citations

  3. Institute of Mathematics

    Kyiv, Ukraine

    15 h-index

    24 publications

    1.5K citations

  4. Universidad Complutense de Madrid

    Madrid, Spain

    13 h-index

    18 publications

    665 citations

  5. Universidad de Sevilla

    Seville, Spain

    12 h-index

    23 publications

    439 citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    12 h-index

    17 publications

    1.8K citations

  7. Rutgers, The State University of New Jersey

    New Brunswick, United States

    11 h-index

    11 publications

    613 citations

  8. Nankai University

    Tianjin, China

    11 h-index

    22 publications

    632 citations

1–8 of 596

Venues

  1. Journal of Mathematical Physics

    98 publications · 4.7K citations

    41

    h-index

  2. Journal of Algebra

    60 publications · 2.3K citations

    26

    h-index

  3. Communications in Algebra

    66 publications · 1.8K citations

    22

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 42 publications · 1.1K citations

    20

    h-index

  5. Journal of Physics A Mathematical and General

    26 publications · 1.1K citations

    18

    h-index

1–5