Results 31 to 40 of about 12,045 (118)
Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra [PDF]
, 2014 We introduce the Hom-analogue of the L-R-smash product and use it to define the Hom-analogue of the diagonal crossed product. When H is a finite dimensional Hom-Hopf algebra with bijective antipode and bijective structure map, we define the Drinfeld ...
A. Makhlouf, F. Panaite
semanticscholar +1 more source
The doubles of a braided Hopf algebra [PDF]
, 2012 Let A be a Hopf algebra in a braided rigid category B. In the case B admits a coend C, which is a Hopf algebra in B, we defined in 2008 the double D(A) of A, which is a quasitriangular Hopf algebra in B whose category of modules is isomorphic to the ...
A. Bruguières, A. Virelizier
semanticscholar +1 more source
Quasitriangular Hopf algebras of dimension pq^2
, 2021 Let p and q be distinct odd primes and assume k is an algebraically closed field of characteristic zero. We classify all quasitriangular Hopf algebras of dimension pq^2 over k, which are not simple as Hopf algebras. Moreover, we obtained all quasitriangular structures on these Hopf algebras.
Zhou, Kun, Liu, Gongxiang
openaire +2 more sources
The doubles of a braided Hopf algebra
, 2013 à paraître dans Contemporary MathematicsInternational audienceLet A be a Hopf algebra in a braided rigid category B. In the case B admits a coend C, which is a Hopf algebra in B, we defined in 2008 the double D(A) of A, which is a quasitriangular Hopf ...
Virelizier, Alexis +3 more
core +1 more source
Some isomorphisms for the Brauer groups of a Hopf algebra
, 2001 Using equivalences of categories we provide general isomorphisms between the Brauer groups of different Hopf algebras. One of those is used to prove that the Brauer groups BC(k, H_4, r(1)) for every dual quasitriangular structure r(t) on Sweedler's Hopf ...
CARNOVALE, GIOVANNA
core +1 more source
Tressages des groupes de Poisson formels à dual quasitriangulaire [PDF]
, 2001 In [V. G. Drinfeld, "Quantum groups", Proc. Intern. Congress of Math. (Berkeley, 1986) 1987, pp. 798-820], Drinfeld constructs a Quantum Formal Series Hopf Algebra (QFSHA) U'_h starting from a Quantum Universal Enveloping Algebra (QUEA) U_h .
HALBOUT, Gilles +3 more
core +1 more source
Symmetry of quasitriangular structures on some Hopf algebras
, 2023 Abstract Let H be a Hopf algebra. The concept of symmetry of a quasitriangu-lar structure on H is introduced and some properties of a symmetric quasitriangular structure are characterized. We apply this to study quasitriangular structures on small quantum groups and abelian extensions.
Naihong Hu, Gongxiang Liu, Kun Zhou
openaire +1 more source
On the subgroup structure of the full Brauer group of Sweedler Hopf algebra
, 2011 We introduce a three-parameter family of two-dimensional algebras representing elements in the Brauer group BQ(k,H _4) of Sweedler Hopf algebra H_4 over a field k.
CARNOVALE, GIOVANNA, CUADRA J.
core +1 more source
Classifying bicrossed products of two Sweedler's Hopf algebras [PDF]
, 2014 summary:We continue the study started recently by Agore, Bontea and Militaru in ``Classifying bicrossed products of Hopf algebras'' (2014), by describing and classifying all Hopf algebras $E$ that factorize through two Sweedler's Hopf algebras ...
Bontea, Costel-Gabriel +1 more
core +1 more source
Nonassociative constructions from inverse property quasigroups
, 2011 PhDThe notion of a Hopf algebra has been generalized many times by weakening certain properties; we introduce Hopf quasigroups which weaken the associativity of the algebra.
Klim, Jennifer
core