Results 81 to 90 of about 12,045 (118)
Quasitriangular and Ribbon Quasi-Hopf Algebras
Communications in Algebra, 2003 Abstract Following (Drinfeld, V. G. (1990a). Quasi-Hopf algebras.Leningrad Math. J. 1:1419–1457) a quasi-Hopf algebra has, by definition, its antipode bijective. In this note, we will prove that for a quasitriangular quasi-Hopf algebra with an R-matrix R, this condition is unnecessary and also the condition of invertibility of R.
Daniel Bulacu
exaly +3 more sources
Graded Quantum Groups and Quasitriangular Hopf Group-Coalgebras
, 2005 18 pagesStarting from a Hopf algebra endowed with an action of a group G by Hopf automorphisms, we construct (by a twisted double method) a quasitriangular Hopf G-coalgebra.
A. Virelizier
semanticscholar +2 more sources
Long Dimodules and Quasitriangular Weak Hopf Monoids [PDF]
Mathematics, 2021 In this paper, we prove that for any pair of weak Hopf monoids H and B in a symmetric monoidal category where every idempotent morphism splits, the category of H-B-Long dimodules HBLong is monoidal.
JOSÉ Nicanor Alonso Alvarez +2 more
exaly +2 more sources
Constructing Quasitriangular Multiplier Hopf Algebras By Twisted Tensor Coproducts
Communications in Algebra, 2009 Let A and B be multiplier Hopf algebras, and let R is an element of M(B circle times A) be an anti-copairing multiplier, i.e, the inverse of R is a skew-copairing multiplier in the sense of Delvaux [5].
A Van Daele
exaly +2 more sources
The Quantum Double for Quasitriangular Quasi-Hopf Algebras
Communications in Algebra, 2003 15 ...
D Bulacu, S Caenepeel
exaly +4 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Quasitriangular Quasi-Hopf Algebras
2019By using categorical tools, we introduce the concept of quasitriangular (QT) quasi-bialgebras. For QT quasi-Hopf algebras we show that the square of the antipode is an inner automorphism, and therefore bijective. We uncover the QT structure of the quantum double D ( H ) of a finite-dimensional quasi-Hopf algebra H , and characterize D ( H ) as a ...
Daniel Bulacu +2 more
exaly +2 more sources
The quasitriangular structures of biproduct Hopf algebras
Journal of Zhejiang University: Science A, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Lihui, Zhao, Wenzheng
exaly +2 more sources
Ribbon and charmed elements for quasitriangular hopf algebras
Communications in Algebra, 1997The concept of “ribbon element” for a quasitriangular Hopf algebra appeared in [6] and it has been studied in several papers, also in relation to knot theory. The concept of “charmed element” was introduced by Kirby and Melvin in [3]; for their purpose, it was enough to work with charmed elements instead of ribbon elements.
F. Panaite
semanticscholar +2 more sources
Symmetry phenomenon on quasitriangular Hopf algebras and its applications
Journal of Algebra and Its ApplicationsLet [Formula: see text] be a Hopf algebra. The concept of a symmetric universal [Formula: see text]-matrix of [Formula: see text] is introduced (see Definition 2.1). Subsequently, we prove that symmetry phenomenon exists on some well-known quasitriangular Hopf algebras, including some infinite families of small quantum groups. Through an examination of
Naihong Hu, Gongxiang Liu, Kun Zhou
semanticscholar +2 more sources
Braided autoequivalences and the equivariant Brauer group of a quasitriangular Hopf algebra
Journal of Algebra, 2016 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 $_H\mathcal{M}$.
Yinhuo Zhang
exaly +3 more sources