Free motion on the Poisson SU(n) group
S. Zakrzewski
Abstract
SL(N,C) is the phase space of the Poisson SU(N). We calculate explicitly the symplectic structure of SL(N,C), define an analogue of the Hamiltonian of the free motion on SU(N) and solve the corresponding equations of motion. Velocity is related to the momentum by a non-linear Legendre transformation.
Create a lesson
Related papers
Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups
D. V. Alekseevsky, V. Cortes
Equivariant K-Theory of Simply Connected Lie Groups
Jean-Luc Brylinski, Bin Zhang
Continuous families of isospectral metrics on simply connected manifolds
Dorothee Schueth
The beta function of a knot
Jean-Luc Brylinski
Prescribing Mean Curvature: Existence and Uniqueness Problems
George I. Kamberov
On the Spinor Representation of Surfaces in Euclidean 3-Space
Thomas Friedrich