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Toplam kayıt 4, listelenen: 1-4
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 ...
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 ...
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 ...
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 ...