Concepedia

Lie-poisson Systems

Lie-Poisson Systems is a Hamiltonian dynamical system defined on the dual of a Lie algebra, distinguished by a Poisson bracket structure that inherits its form from the Lie algebra's adjoint representation, thereby preserving the underlying symmetry and enabling the reduction of mechanical systems with symmetry.

270

Publications

10.8K

Citations

314

Authors

219

Institutions

Publications per year

2017–2026

30

Parents

Publications

270

Integrability of Lie brackets

Marius Crainic, Rui Loja Fernandes · Annals of Mathematics · 2003 · 481 citations · Full text

, , +13

Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators

Zhong Ge, Jerrold E. Marsden · Physics Letters A · 1988 · 451 citations

, , +14

Poisson brackets in condensed matter physics

I. E. Dzyaloshinskiǐ, G.E. Volovick · Annals of Physics · 1980 · 449 citations

, , +14

Poisson-Lie T-duality and loop groups of Drinfeld doubles

C. Klimčı́k, Pavol Ševera · Physics Letters B · 1996 · 237 citations · Full text

, , +16

Symplectic structures associated to Lie-Poisson groups

Anton Alekseev, Anton Malkin · Communications in Mathematical Physics · 1994 · 195 citations · Full text

, , +11

1–5 of 270

Authors

314

  1. TS
    Tudor S. Raţiu

    École Polytechnique Fédérale de Lausanne, Switzerland

    12 publications · 730 citations

    12

    h-index

  2. JE
    Jerrold E. Marsden

    California Institute of Technology, United States

    9 publications · 1.1K citations

    9

    h-index

  3. DD
    Darryl D. Holm

    Los Alamos National Laboratory, United States

    9 publications · 354 citations

    9

    h-index

  4. PŠ
    Pavol Ševera

    University of Geneva, Switzerland

    5 publications · 369 citations

    5

    h-index

  5. JG
    Janusz Grabowski

    Institute of Mathematics, Poland

    5 publications · 241 citations

    5

    h-index

1–5 of 314

Institutions

219

  1. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    15 publications

    474 citations

  2. Los Alamos National Laboratory

    Los Alamos, United States

    10 h-index

    13 publications

    550 citations

  3. University of California, Berkeley

    Berkeley, United States

    9 h-index

    9 publications

    1.2K citations

  4. Institute of Mathematics

    Warsaw, Poland

    8 h-index

    9 publications

    296 citations

  5. California Institute of Technology

    Pasadena, United States

    8 h-index

    14 publications

    1.1K citations

  6. University of Warsaw

    Warsaw, Poland

    7 h-index

    9 publications

    470 citations

  7. Imperial College London

    London, United Kingdom

    7 h-index

    9 publications

    284 citations

  8. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    7 h-index

    12 publications

    635 citations

1–8 of 219

Venues

  1. Journal of Mathematical Physics

    13 publications · 412 citations

    13

    h-index

  2. Physics Letters B

    11 publications · 631 citations

    11

    h-index

  3. Communications in Mathematical Physics

    11 publications · 572 citations

    11

    h-index

  4. arXiv (Cornell University)

    Repository · 11 publications · 286 citations

    10

    h-index

  5. Journal of High Energy Physics

    JHEP · 11 publications · 213 citations

    10

    h-index

1–5