Concepedia

Reductive Lie Groups

Reductive Lie Group is a type of Lie group whose associated Lie algebra decomposes as a direct sum of a semisimple Lie algebra and an abelian Lie algebra, distinguishing it from general Lie groups by the complete reducibility of its finite-dimensional representations.

578

Publications

32.4K

Citations

682

Authors

393

Institutions

Publications per year

2017–2026

32

Variants

Reductive Lie Group

Parents

Publications

578

Applications of lie groups to differential equations

Acta Applicandae Mathematicae · 1990 · 6.1K citations

, , +14

DISCRETE SUBGROUPS OF LIE GROUPS

Raghunathan · 1972 · 1.3K citations

, , +7

Coherent states for arbitrary Lie group

A. M. Perelomov · Communications in Mathematical Physics · 1972 · 1.3K citations · Full text

, , +9

Elementary lie group analysis and ordinary differential equations

Computers & Mathematics with Applications · 1999 · 764 citations

, , +14

Invariant functions on Lie groups and Hamiltonian flows of surface group representations

William M. Goldman · Inventiones mathematicae · 1986 · 492 citations

, , +15

1–5 of 578

Authors

682

  1. JA
    Joseph A. Wolf

    University of California, Berkeley, United States

    8 publications · 587 citations

    8

    h-index

  2. TK
    Toshiyuki Kobayashi

    The University of Tokyo, Japan

    6 publications · 329 citations

    6

    h-index

  3. AP
    Alexander Premet

    University of Manchester, United Kingdom

    6 publications · 282 citations

    6

    h-index

  4. IP
    Ivan Penkov

    University of California, Riverside, United States

    5 publications · 129 citations

    5

    h-index

  5. DW
    Derek W. Robinson

    Australian National University, Australia

    5 publications · 86 citations

    5

    h-index

1–5 of 682

Institutions

393

  1. Massachusetts Institute of Technology

    Cambridge, United States

    11 h-index

    20 publications

    1.8K citations

  2. University of Manchester

    Manchester, United Kingdom

    10 h-index

    10 publications

    316 citations

  3. Australian National University

    Canberra, Australia

    10 h-index

    18 publications

    420 citations

  4. Yale University

    New Haven, United States

    9 h-index

    10 publications

    318 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    9 publications

    321 citations

  6. University of Maryland, College Park

    College Park, United States

    8 h-index

    9 publications

    247 citations

  7. The University of Tokyo

    Tokyo, Japan

    8 h-index

    8 publications

    368 citations

  8. University of Oregon

    Eugene, United States

    7 h-index

    7 publications

    583 citations

1–8 of 393

Venues

  1. Journal of Algebra

    43 publications · 1.4K citations

    21

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 27 publications · 1.4K citations

    19

    h-index

  3. American Journal of Mathematics

    17 publications · 621 citations

    14

    h-index

  4. Duke Mathematical Journal

    DMJ · 16 publications · 905 citations

    14

    h-index

  5. Mathematische Annalen

    17 publications · 694 citations

    13

    h-index

1–5