Işık Yazarı "Sütlü, Serkan" Scopus İndeksli Makale Koleksiyonu İçin Listeleme
-
Bicocycle double cross constructions
Esen, Oğul; Guha, Partha; Sütlü, Serkan (World Scientific, 2023-12-01)We introduce the notion of a bicocycle double cross product (sum) Lie group (algebra), and a bicocycle double cross product bialgebra, generalizing the unified products. On the level of Lie groups the construction yields ... -
Discrete dynamical systems over double cross-product Lie groupoids
Esen, Oğul; Sütlü, Serkan (World Scientific, 2021-03)Discrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on ... -
Homology of quantum linear groups
Kaygun, Atabey; Sütlü, Serkan (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. -
Matched pair analysis of the Vlasov plasma
Esen, Oğul; Sütlü, Serkan (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 ... -
On extensions, Lie-Poisson systems, and dissipation
Esen, Oğul; Özcan, Gökhan; Sütlü, Serkan (Heldermann Verlag, 2022-07-06)Lie-Poisson systems on the dual spaces of unified products are studied. Having been equipped with a twisted 2-cocycle term, the extending structure framework allows not only to study the dynamics on 2-cocycle extensions, ... -
Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles
Esen, Oğul; Gümral, Hasan; Sütlü, Serkan (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 ... -
Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction
Esen, Oğul; Kudeyt, Mahmut; Sütlü, Serkan (World Scientific, 2023-03-30)We study the trivialization and the reduction of Tulczyjew's triplet, in the presence of a symmetry and an Ehresmann connection associated to it. We thus establish a geometric pathway for the Legendre transformations on ...