Ara
Toplam kayıt 4, listelenen: 1-4
Cohomologies and generalized derivations of n-Lie algebras
(Electronic Journals Project, 2022)
A cohomology theory associated to an n-Lie algebra and a representation space of it is introduced. It is shown that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles, and inner ...
Bicocycle double cross constructions
(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 ...
Matching of cocycle extensions for second tangent groups
(American Institute of Physics Inc., 2022-11-07)
We present the second-order tangent group of a Lie group as a cocycle extension of the first-order tangent group. We exhibit matching of the second-order tangent groups of two mutually interacting Lie groups. We examine ...
Tulczyjew's triplet with an Ehresmann connection I: Trivialization and reduction
(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 ...