Results 61 to 70 of about 12,045 (118)

Noncommutative String Theory, the R-Matrix, and Hopf Algebras [PDF]

, 1999
Motivated by the form of the noncommutative *-product in a system of open strings and Dp-branes with constant nonzero Neveu-Schwarz 2-form, we define a deformed multiplication operation on a quasitriangular Hopf algebra in terms of its R-matrix, and ...
Watts, P.
core  

QUASITRIANGULARITY OF BRZEZIŃSKI'S CROSSED COPRODUCTS

, 2011
In continuation of our recent work about the quasitriangular structures for the twisted tensor biproduct, we give the necessary and sufficient conditions for Brzeziński crossed coproduct coalgebra, including the twisted tensor coproduct introduced by ...
TIANSHUI MA, HAIYING LI, SHUANHONG WANG
core   +1 more source

Cayley-Hamilton-Newton identities and quasitriangular Hopf algebras

, 1999
In the framework of the Drinfeld theory of twists in Hopf algebras we construct quantum matrix algebras which generalize the Reflection Equation and the RTT algebras. Finite-dimensional representations of these algebras related to the theory of nonultralocal spin chains are presented. The Cayley-Hamilton-Newton identities are demonstrated.
Isaev, A. P., Ogievetsky, O. V., Pyatov, P. N.   +2 more
openaire   +2 more sources

Invariants of spin three-manifolds from Chern-Simons theory and finite-dimensional Hopf algebras

, 2002
A version of Kirby calculus for spin and framed three-manifolds is given and is used to construct invariants of spin and framed three-manifolds in two situations. The first is ribbon *-categories which possess odd degenerate objects.
Sawin, Stephen F.
core   +1 more source

On semisimple quasitriangular Hopf algebras of dimension $dq^n$

, 2017
Let $q>2$ be a prime number, $d$ be an odd square-free natural number, and $n$ be a non-negative integer. We prove that a semisimple quasitriangular Hopf algebra of dimension $dq^n$ is solvable in the sense of Etingof, Nikshych and Ostrik. In particular, if $n\leq 3$ then it is either isomorphic to $k^G$ for some abelian group $G$, or twist ...
Dong, Jingcheng, Dai, Li
openaire   +2 more sources

Coends and categorical Hopf algebras

K. Shimizu has proved that, in a braided finite tensor category over an algebraically closed field, the triviality of the M¨uger centre implies that a certain Hopf pairing is non-degenerate.
Howell, Bradley
core   +1 more source

Symmetries and the u-condition in Hom-Yetter-Drinfeld categories. [PDF]

J Math Phys, 2014
Wang S, Guo S.
europepmc   +1 more source

Double Quantum Groups

, 2001
The construction of the Drinfeld double D(H) of a finite dimensional Hopf algebra H was one of the first examples of a quasitriangular Hopf algebra whose category of modules MD(H) is braided.
Hobst, Daniela, Pareigis, Bodo
core   +1 more source

Sobre a semissimplicidade de álgebras de Hopf finito-dimensionais e o duplo de Drinfeld [PDF]

, 2013
Neste trabalho discutimos a semissimplicidade de álgebras de Hopf finito-dimensionais e construímos o Duplo de Drinfeld D(H) de uma tal álgebra H. Além disso, apresentamos um resultado mostrando a equivalência entre as categorias de representações dos ...
Grasiela Martini, Martini, Grasiela
core  

Braided groups and quantum groupoids

, 2012
Let H be a quasitriangular weak Hopf algebra. It is proved that the centralizer subalgebra of its source subalgebra in H is a braided group (or Hopf algebra in the category of left H-modules), which is cocommutative and also a left braided Lie algebra in
Liu, G. H., Zhu, Haixing
core   +1 more source