Results 41 to 50 of about 539,900 (289)
, 2018 WOS: 000445962200006In this study, we interpret the notion of homotopy of morphisms in the category of crossed modules in a category C of groups with operations using the categorical equivalence between the categories of crossed modules and of internal ...
Şahan, Tunçar
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Higher Chern-Simons based on (2-)crossed modules
Journal of High Energy Physics, 2023 We present higher Chern-Simons theories based on (2-)crossed modules. We start from the generalized differential forms in Generalized Differential Calculus and define the corresponding generalized connections which consist of higher connections.
Danhua Song, Mengyao Wu, Ke Wu, Jie Yang
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Cross-phase modulation imaging [PDF]
Optics Letters, 2012 We demonstrate a cross-phase modulation measurement technique based on the sensitive detection of modulation transfer in a pump-probe setup. By modulating the amplitude of the pump beam and spectrally analyzing the probe beam, we achieve a rapid, background-free measurement of nonlinear phase modulation using power levels acceptable in biological ...
Prathyush, Samineni +4 more
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Crossed modules and homology [PDF]
, 1994 Two invariants are introduced for a crossed module and they are connected by a five-term exact sequence, associated to a extension of crossed modules. In the particular case of groups or G-modules these invariants give the homology groups of Eilenberg ...
Ladra, M. +3 more
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On central automorphisms of crossed modules
Karpatsʹkì Matematičnì Publìkacìï, 2018 A crossed module $(T,G,\partial)$ consist of a group homomorphism $\partial:T\rightarrow G$ together with an action $(g,t)\rightarrow{}^{\,g}t$ of $G$ on $T$ satisfying $\partial(^{\,g}t)=g\partial(t)g^{-1}$ and $\,^{\partial(s)}t=sts^{-1}$, for all $g ...
M. Dehghani, B. Davvaz
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Dynamical generalization of Yetter’s model based on a crossed module of discrete groups
Journal of High Energy Physics, 2021 We construct a lattice model based on a crossed module of possibly non-abelian finite groups. It generalizes known topological quantum field theories, but in contrast to these models admits local physical excitations.
Arkadiusz Bochniak +2 more
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Yetter–Drinfeld Modules for Group-Cograded Hopf Quasigroups
Mathematics, 2022 Let H be a crossed group-cograded Hopf quasigroup. We first introduce the notion of p-Yetter–Drinfeld quasimodule over H. If the antipode of H is bijective, we show that the category YDQ(H) of Yetter–Drinfeld quasimodules over H is a crossed category ...
Huili Liu, Tao Yang, Lingli Zhu
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Journal of New Theory, 2022 In this study, internal categories in the category of cat-1 groups, 1-cat, are determined, and it is investigated whether there is a natural equivalence between the category of these categories and the category of internal categories within the category ...
Ummahan Ege Arslan, Elis Soylu Yılmaz
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Further remarks on group-2-groupoids
Applied General Topology, 2021 The aim of this paper is to obtain a group-2-groupoid as a 2-groupoid object in the category of groups and also as a special kind of an internal category in the category of group-groupoids.
Sedat Temel
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