Concepedia

Iwasawa Decomposition

Iwasawa Decomposition is a structural theorem in Lie theory that asserts every connected semisimple Lie group admits a unique decomposition as the product of a compact subgroup, an abelian subgroup, and a nilpotent subgroup, with the subgroups mutually commuting up to conjugation.

141

Publications

6K

Citations

183

Authors

124

Institutions

Publications per year

2017–2026

17

Variants

Iwasawa Decomposition Theorem

Parents

Publications

141

Cosmological billiards

Thibault Damour, Marc Henneaux, Hermann Nicolai · Classical and Quantum Gravity · 2003 · 393 citations · Full text

, , +16

The ?main conjectures? of iwasawa theory for imaginary quadratic fields

Karl Rubin · Inventiones mathematicae · 1991 · 342 citations

, , +10

The Iwasawa Invariant μ p Vanishes for Abelian Number Fields

Bruce Ferrero, Lawrence C. Washington · Annals of Mathematics · 1979 · 279 citations

, , +7

On the Iwasawa Invariants of Totally Real Number Fields

Ralph Greenberg · American Journal of Mathematics · 1976 · 272 citations

, , +11

The Iwasawa Main Conjectures for GL2

Christopher Skinner, Eric Urban · Inventiones mathematicae · 2013 · 230 citations

, , +12

1–5 of 141

Authors

183

  1. AL
    Antonio Lei

    Université Laval, Canada

    5 publications · 107 citations

    5

    h-index

  2. KA
    Konstantin Ardakov

    University of Cambridge, United Kingdom

    3 publications · 52 citations

    3

    h-index

  3. DL
    David Loeffler

    University of Warwick, United Kingdom

    3 publications · 71 citations

    3

    h-index

  4. RG
    Ralph Greenberg

    University of Washington, United States

    3 publications · 459 citations

    3

    h-index

  5. NM
    N. Mukunda

    Indian Institute of Science Bangalore, India

    3 publications · 147 citations

    3

    h-index

1–5 of 183

Institutions

124

  1. University of Cambridge

    Cambridge, United Kingdom

    5 h-index

    7 publications

    170 citations

  2. Waseda University

    Tokyo, Japan

    5 h-index

    5 publications

    114 citations

  3. Institute of Mathematical Sciences

    Chennai, India

    4 h-index

    6 publications

    244 citations

  4. University of Münster

    Münster, Germany

    4 h-index

    4 publications

    210 citations

  5. University of Warwick

    Coventry, United Kingdom

    4 h-index

    4 publications

    101 citations

  6. Princeton University

    Princeton, United States

    3 h-index

    4 publications

    427 citations

  7. Université Paris Cité

    Paris, France

    3 h-index

    3 publications

    65 citations

  8. Jawaharlal Nehru Centre for Advanced Scientific Research

    Bengaluru, India

    3 h-index

    4 publications

    158 citations

1–8 of 124

Venues

  1. Inventiones mathematicae

    11 publications · 1.3K citations

    11

    h-index

  2. manuscripta mathematica

    7 publications · 216 citations

    7

    h-index

  3. Journal of Number Theory

    5 publications · 164 citations

    5

    h-index

  4. Pacific Journal of Mathematics

    5 publications · 148 citations

    5

    h-index

  5. Acta Arithmetica

    5 publications · 78 citations

    5

    h-index

1–5