Concepedia

Infinite-dimensional Lie Groups

Infinite-Dimensional Lie Groups is a Lie group whose underlying manifold is modeled on an infinite-dimensional topological vector space, thereby generalizing the notion of finite-dimensional Lie groups by allowing the group operations to be smooth in an infinite-dimensional setting.

197

Publications

9.4K

Citations

273

Authors

199

Institutions

Publications per year

2017–2026

20

Parents

Publications

197

Infinite-dimensional Lie algebras, theta functions and modular forms

Victor G. Kač, Dale H. Peterson · Advances in Mathematics · 1984 · 703 citations · Full text

, , +15

COXETER FUNCTORS AND GABRIEL'S THEOREM

I. N. Bernstein, I. M. Gel'fand · Russian Mathematical Surveys · 1973 · 541 citations · Full text

, , +13

Geodesic flow on the diffeomorphism group of the circle

Adrian Constantin, Boris Kolev · Commentarii Mathematici Helvetici · 2003 · 353 citations · Full text

, , +16

Remarks on infinite-dimensional Lie groups

John Milnor · 1984 · 295 citations

, , +10

The infinite groups of Lie and Cartan Part I, (The transitive groups)

I. M. Singer, Shlomo Sternberg · Journal d Analyse Mathématique · 1965 · 281 citations

, , +10

1–5 of 197

Authors

273

  1. HG
    Helge Glöckner

    Technische Universität Darmstadt, Germany

    10 publications · 331 citations

    10

    h-index

  2. KN
    Karl‐Hermann Neeb

    Technische Universität Darmstadt, Germany

    8 publications · 246 citations

    8

    h-index

  3. SL
    Sen‐Yue Lou

    Ningbo University, China

    5 publications · 319 citations

    5

    h-index

  4. MG
    Maria Gordina

    University of Connecticut, United States

    5 publications · 105 citations

    5

    h-index

  5. CB
    Chengming Bai

    Nankai University, China

    3 publications · 44 citations

    3

    h-index

1–5 of 273

Institutions

199

  1. University of California San Diego

    San Diego, United States

    6 h-index

    7 publications

    190 citations

  2. Technische Universität Darmstadt

    Darmstadt, Germany

    6 h-index

    8 publications

    164 citations

  3. Shanghai Jiao Tong University

    Shanghai, China

    5 h-index

    6 publications

    178 citations

  4. University of Connecticut

    Storrs, United States

    5 h-index

    6 publications

    125 citations

  5. Université de Montréal

    Montreal, Canada

    5 h-index

    11 publications

    1.1K citations

  6. China Center of Advanced Science and Technology

    Beijing, China

    4 h-index

    4 publications

    318 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    5 publications

    135 citations

  8. Tokyo Metropolitan University

    Tokyo, Japan

    4 h-index

    7 publications

    215 citations

1–8 of 199

Venues

  1. Journal of Mathematical Physics

    17 publications · 923 citations

    16

    h-index

  2. Journal of Physics A Mathematical and General

    17 publications · 792 citations

    15

    h-index

  3. arXiv (Cornell University)

    Repository · 11 publications · 269 citations

    11

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 8 publications · 199 citations

    8

    h-index

  5. ArXiv.org

    Repository · 7 publications · 204 citations

    7

    h-index

1–5