Concepedia

Lie Group Automorphisms

Lie Group Automorphisms is a bijective Lie group homomorphism from a Lie group to itself that preserves the group structure and differentiable manifold structure, thereby maintaining the smoothness of group operations under the mapping.

229

Publications

9.4K

Citations

290

Authors

172

Institutions

Publications per year

2017–2026

13

Parents

Publications

229

Entropy for group endomorphisms and homogeneous spaces

Rufus Bowen · Transactions of the American Mathematical Society · 1971 · 1.1K citations

, , +16

Control systems on Lie groups

Velimir Jurdjevic, Héctor J. Sussmann · Journal of Differential Equations · 1972 · 642 citations

, , +13

Transformation Groups of Spheres

Deane Montgomery, Hans Samelson · Annals of Mathematics · 1943 · 315 citations

, , +12

On Representations and Compactifications of Symmetric Riemannian Spaces

Ichirō Satake · Annals of Mathematics · 1960 · 231 citations

, , +16

Entropy for Group Endomorphisms and Homogeneous Spaces

Rufus Bowen · Transactions of the American Mathematical Society · 1971 · 205 citations · Full text

, , +16

1–5 of 229

Authors

290

  1. EI
    E. I. Khukhro

    Sobolev Institute of Mathematics, Russia

    7 publications · 105 citations

    7

    h-index

  2. NY
    N. Yu. Makarenko

    Sobolev Institute of Mathematics, Russia

    5 publications · 76 citations

    5

    h-index

  3. RM
    R. M. Bryant

    University of Manchester, United Kingdom

    4 publications · 71 citations

    4

    h-index

  4. TC
    T. Christodoulakis

    National and Kapodistrian University of Athens, Greece

    4 publications · 89 citations

    4

    h-index

  5. IY
    Ichiro Yokota

    Ōtani University, Japan

    4 publications · 157 citations

    4

    h-index

1–5 of 290

Institutions

172

  1. University of Notre Dame

    Notre Dame, United States

    5 h-index

    6 publications

    148 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    8 publications

    167 citations

  3. University of Chicago

    Chicago, United States

    5 h-index

    6 publications

    1.4K citations

  4. Sobolev Institute of Mathematics

    Novosibirsk, Russia

    5 h-index

    9 publications

    158 citations

  5. University of Tübingen

    Tübingen, Germany

    4 h-index

    6 publications

    192 citations

  6. University of Manchester

    Manchester, United Kingdom

    4 h-index

    4 publications

    68 citations

  7. Institute of Nuclear and Particle Physics

    Athens, Greece

    3 h-index

    7 publications

    179 citations

  8. University of Alberta

    Edmonton, Canada

    3 h-index

    3 publications

    104 citations

1–8 of 172

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 18 publications · 1.7K citations

    14

    h-index

  2. Pacific Journal of Mathematics

    10 publications · 301 citations

    10

    h-index

  3. Journal of Differential Geometry

    8 publications · 727 citations

    8

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 7 publications · 119 citations

    7

    h-index

  5. arXiv (Cornell University)

    Repository · 7 publications · 168 citations

    7

    h-index

1–5