Yazar "Esen, Oğul" için Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
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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 ... -
Cohomologies and generalized derivations of n-Lie algebras
Ateşli, Begüm; Esen, Oğul; Sütlü, Serkan (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 ... -
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 ...