Ara
Toplam kayıt 4, listelenen: 1-4
Hamiltonian dynamics on matched pairs
(World Scientific Publishing Co, 2016-11-01)
The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched pair Lie group. The explicit matched pair decomposition on the trivialized bundle is presented. On the trivialized space, ...
Matched pair analysis of the Vlasov plasma
(American Institute of Mathematical Sciences-AIMS, 2021-06)
We present the Hamiltonian (Lie-Poisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these (Lie-Poisson) systems as couplings of ...
Homology of quantum linear groups
(Int Press Boston, 2021-03-24)
For every n >= 1, we calculate the Hochschild homology of the quantum monoids M-q(n), and the quantum groups GL(q)(n) and SLq(n) with coefficients in a 1-dimensional module coming from a modular pair in involution.
Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles
(Serbian Society of Mechanics, 2021)
Given a Lie group G, we elaborate the dynamics on T*T*G and T*TG, which is given by a Hamiltonian, as well as the dynamics on the Tul-czyjew symplectic space TT * G, which may be defined by a Lagrangian or a Hamiltonian ...