Results 1 to 10 of about 11,869 (57)
International Journal of Mathematics and Mathematical Sciences, 2004 Using diagrammatic pictures of tensor contractions, we consider a Hopf algebra (Aop⊗ℛλA*)* twisted by an element ℛλ∈A*⊗Aop corresponding to a Hopf algebra morphism λ:A→A.
Daijiro Fukuda, Ken'ichi Kuga
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On the Drinfeld Center of the Category of Comodules over a Co-quasitriangular Hopf Algebra
Taiwanese Journal of Mathematics, 2016 Let $H$ be a co-quasitriangular Hopf algebra with bijective antipode. We prove that the Drinfeld center of the category of $H$-comodules is equivalent to the category of modules over some braided group. In particular, the equivalence holds not only for a
Haixing Zhu
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On the quasitriangular structures of a semisimple Hopf algebra
Journal of Algebra, 1991 In this paper we show that the theorem of [4] on the order of the group of Hopf algebra automorphisms Aut,,,, (A) of certain semisimple Hopf algebras over a field k has an interesting implication for quantum groups.
David E Radford
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Ribbon Element on Co-Frobenius Quasitriangular Hopf Algebras
Applied Mathematics, 2010 Let (H, R) be a co-Frobenius quasitriangular Hopf algebra with antipode S. Denote the set of group-like elements in H by G (H). In this paper, we find a necessary and sufficient condition for (H, R) to have a ribbon element.
Guohua Liu
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On the antipode of a quasitriangular Hopf algebra
Journal of Algebra, 1992 David E Radford
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Modified toric code models with flux attachment from Hopf algebra gauge theory [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 Kitaev’s toric code is constructed using a finite gauge group from gauge theory. Such gauge theories can be extended with the gauge group generalized to any finite-dimensional semisimple Hopf algebra. This also leads to extensions of the toric code. Here
M. Conlon +2 more
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A New Approach to Braided T-Categories and Generalized Quantum Yang–Baxter Equations
Mathematics, 2022 We introduce and study a large class of coalgebras (possibly (non)coassociative) with group-algebraic structures Hopf (non)coassociative group-algebras.
Senlin Zhang, Shuanhong Wang
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Braided autoequivalences and the equivariant Brauer group of a quasitriangular Hopf algebra [PDF]
, 2014 Let $(H, R)$ be a finite dimensional quasitriangular Hopf algebra over a field $k$, and $_H\mathcal{M}$ the representation category of $H$. In this paper, we study the braided autoequivalences of the Drinfeld center $^H_H\mathcal{YD}$ trivializable on ...
J. Dello, Yinhuo Zhang
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Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 In this paper we give two general formulae for the M\"uger centralizers in the category of representations of a semisimple quasitriangular Hopf algebra.
S. Burciu
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On the Antipode of a Co-Frobenius (Co)Quasitriangular Hopf Algebra [PDF]
, 2007 For H a quasitriangular Hopf algebra, S 2, the square of the antipode is the inner automorphism induced by the Drinfeld element u, and S 4 is the inner automorphism induced by the grouplike element g = uS(u)−1.
M. Beattie, D. Bulacu
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