Results 51 to 60 of about 12,045 (118)
, 1992 We prove a highly generalized Tannaka-Krein type reconstruction theorem for a monoidal category C functored by F: C→V to a suitably cocomplete rigid quasitensor category V.
Majid, Shahn
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Quasitriangular structures on cocommutative Hopf algebras
, 1997 Latex, 22 ...
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Quantum double of Hopf monads and categorical centers
, 2012 International audienceThe center Z(C) of an autonomous category C is monadic over C (if certain coends exist in C). The notion of Hopf monad naturally arises if one tries to reconstruct the structure of Z(C) in terms of its monad Z: we show that Z is a ...
Virelizier, Alexis +3 more
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Algebraic Approach to Quantum Gravity: relative realism [PDF]
, 2007 In the first of three articles, we review the philosophical foundations of an approach to quantum gravity based on a principle of representation-theoretic duality and a vaguely Kantian-Buddist perspective on the nature of physical reality which I have ...
Majid, Shahn
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Symmetry and pseudosymmetry of v-Yetter–Drinfeld categories for Hom–Hopf algebras
, 2017 The purpose of this paper is to introduce the category of [Formula: see text]-Yetter–Drinfeld modules ([Formula: see text]) over a Hom–Hopf algebra.
Xiao-Li Fang +2 more
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Nonassociative geometry in quasi-Hopf representation categories I:Bimodules and their internal homomorphisms [PDF]
, 2015 We systematically study noncommutative and nonassociative algebras A and their bimodules as algebras and bimodules internal to the representation category of a quasitriangular quasi-Hopf algebra.
Szabo, Richard J.; id_orcid +3 more
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Splitting Property of quasitriangular Hopf algebras
We investigate the splitting property of quasitriangular Hopf algebras through the lens of twisted tensor products. Specifically, we demonstrate that an infinite-dimensional quasitriangular Hopf algebra possesses the splitting property if it admits a factorizable quotient Hopf algebra. We also establish that the splitting property holds if there exists
Wu, Jinsong, Zhou, Kun
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On twisting of finite-dimensional Hopf algebras
, 2002 In this paper we study the properties of Drinfeld's twisting for finite-dimensional Hopf algebras. We determine how the integral of the dual to a unimodular Hopf algebra H changes under twisting of H.
Etingof, Pavel +3 more
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Colour lie algebras and R-matrices
, 1995 The universal enveloping algebra of a colour Lie algebra is extended by a 'bosonization' process to a nongraded quasitriangular Hopf algebra, and the explicit form of the R-matrix for the Hopf algebra is ...
McAnally D.S.
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