Reduction of T*SE(3) to the Poisson structure for a symmetric top

2014/03/12 by С. Зуб, Stanislav S. Zub, Zub, Stanislav S. +2
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Physical sciences #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1403.2869

arxiv created 2014/03/12 · openalex publication_date 2014/03/12 · arxiv updated 2014/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Symmetrical top is a special case of a general top. The canonical Poisson structure on T*SE(3) is the common method of its description. This Poisson structure is invariant under the right action of SO(3). However the Hamiltonian of the symmetrical top is only invariant under the right action of the subgroup S1 that corresponds to the rotation around the top symmetry axis. Then the Poisson structure for a symmetric top is obtained by reduction T*SE(3)/S1 is shown.

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