Concepedia

Reductive Group Invariants

Reductive Group Invariants is a mathematical framework in invariant theory that consists of polynomial invariants preserved under the action of a reductive algebraic group, distinguished by the property that the ring of invariants is finitely generated and admits a geometric interpretation via quotient varieties.

78

Publications

3.8K

Citations

82

Authors

61

Institutions

Publications per year

2017–2026

3

Parents

Publications

78

Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay

Melvin Hochster, Joel Roberts · Advances in Mathematics · 1974 · 408 citations

, , +11

A trace formula for reductive groups I terms associated to classes in G(Q)

James Arthur · Duke Mathematical Journal · 1978 · 250 citations

, , +9

THE WEYL GROUP OF A GRADED LIE ALGEBRA

É. B. Vinberg · Mathematics of the USSR-Izvestiya · 1976 · 249 citations

, , +16

Rational conjugacy classes in reductive groups

Robert Kottwitz · Duke Mathematical Journal · 1982 · 181 citations

, , +8

Reductive Groups are Geometrically Reductive

William Haboush · Annals of Mathematics · 1975 · 171 citations

, , +16

1–5 of 78

Authors

82

  1. RW
    R. W. Richardson

    Australian National University, Australia

    3 publications · 255 citations

    3

    h-index

  2. MM
    Mikiya Masuda

    Osaka City University, Japan

    3 publications · 46 citations

    3

    h-index

  3. MH
    Melvin Hochster

    University of Michigan, United States

    3 publications · 462 citations

    3

    h-index

  4. TP
    Ted Petrie

    Rutgers, The State University of New Jersey, United States

    3 publications · 46 citations

    3

    h-index

  5. MB
    Michel Brion

    Institut Fourier, France

    3 publications · 83 citations

    3

    h-index

1–5 of 82

Institutions

61

  1. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    4 publications

    304 citations

  2. University of Minnesota

    Minneapolis, United States

    3 h-index

    4 publications

    890 citations

  3. Rutgers, The State University of New Jersey

    New Brunswick, United States

    3 h-index

    5 publications

    87 citations

  4. University of California, Los Angeles

    Los Angeles, United States

    3 h-index

    4 publications

    57 citations

  5. Osaka City University

    Osaka, Japan

    3 h-index

    6 publications

    92 citations

  6. University of Michigan

    Ann Arbor, United States

    2 h-index

    2 publications

    85 citations

  7. Institut Fourier

    Saint-Martin-d'Hères, France

    2 h-index

    2 publications

    70 citations

  8. Emory University

    Atlanta, United States

    2 h-index

    6 publications

    120 citations

1–8 of 61

Venues

  1. Duke Mathematical Journal

    DMJ · 8 publications · 629 citations

    8

    h-index

  2. Inventiones mathematicae

    6 publications · 400 citations

    6

    h-index

  3. Journal of Algebra

    5 publications · 123 citations

    5

    h-index

  4. ArXiv.org

    Repository · 5 publications · 132 citations

    5

    h-index

  5. Advances in Mathematics

    4 publications · 621 citations

    4

    h-index

1–5