Concepedia

Bruhat Decomposition

Bruhat Decomposition is a structural theorem in the theory of algebraic groups and Lie groups that decomposes a connected reductive algebraic group into a disjoint union of double cosets relative to a Borel subgroup, indexed by elements of the associated Weyl group.

127

Publications

8.1K

Citations

135

Authors

103

Institutions

Publications per year

2017–2026

5

Parents

Publications

127

On some Bruhat decomposition and the structure of the Hecke rings of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> -adic Chevalley groups

Nagayoshi Iwahori · Publications mathématiques de l IHÉS · 1965 · 591 citations

, , +9

Cluster algebras III: Upper bounds and double Bruhat cells

Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky · Duke Mathematical Journal · 2005 · 581 citations

, , +13

Poisson Lie groups, dressing transformations, and Bruhat decompositions

Jiang-Hua Lu, Alan Weinstein · Journal of Differential Geometry · 1990 · 532 citations

, , +12

Double Bruhat cells and total positivity

Sergey Fomin, Andrei Zelevinsky · Journal of the American Mathematical Society · 1999 · 362 citations · Full text

, , +10

Representation theory and sheaves on the Bruhat-Tits building

Peter Schneider, Ulrich Stuhler · Publications mathématiques de l IHÉS · 1997 · 276 citations · Full text

, , +12

1–5 of 127

Authors

135

  1. LE
    Lex E. Renner

    Western University, Canada

    5 publications · 237 citations

    5

    h-index

  2. MD
    Matthew Dyer

    University of Notre Dame, United States

    5 publications · 386 citations

    5

    h-index

  3. VV
    Vinay V. Deodhar

    Indiana University Bloomington, United States

    5 publications · 758 citations

    5

    h-index

  4. AB
    Anders Björner

    KTH Royal Institute of Technology, Sweden

    4 publications · 552 citations

    4

    h-index

  5. JL
    Jiang-Hua Lu

    University of Hong Kong, Hong Kong SAR China

    4 publications · 613 citations

    4

    h-index

1–5 of 135

Institutions

103

  1. KTH Royal Institute of Technology

    Stockholm, Sweden

    7 h-index

    9 publications

    272 citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    7 h-index

    9 publications

    720 citations

  3. University of Michigan

    Ann Arbor, United States

    5 h-index

    6 publications

    1.1K citations

  4. University of Wisconsin–Madison

    Madison, United States

    4 h-index

    5 publications

    152 citations

  5. Western University

    London, Canada

    4 h-index

    4 publications

    115 citations

  6. University of Notre Dame

    Notre Dame, United States

    3 h-index

    3 publications

    110 citations

  7. University of Massachusetts Amherst

    Amherst Center, United States

    3 h-index

    3 publications

    75 citations

  8. University of Münster

    Münster, Germany

    3 h-index

    3 publications

    309 citations

1–8 of 103

Venues

  1. Journal of Algebra

    13 publications · 700 citations

    12

    h-index

  2. Journal of Algebraic Combinatorics

    6 publications · 149 citations

    6

    h-index

  3. European Journal of Combinatorics

    4 publications · 472 citations

    4

    h-index

  4. Journal of Combinatorial Theory Series A

    4 publications · 139 citations

    4

    h-index

  5. Inventiones mathematicae

    4 publications · 536 citations

    4

    h-index

1–5