Results 101 to 110 of about 12,045 (118)

Factorization of quasitriangular structures of smash biproduct bialgebras

Journal of Algebra and its Applications
In this paper, we consider the factorization and reconstruction of quasitriangular structures of smash biproduct bialgebras. Let [Formula: see text] be a smash biproduct bialgebra. Under condition that [Formula: see text] is right conormal, we prove that
Fujun Wang
semanticscholar   +1 more source

THE QUASITRIANGULAR STRUCTURES FOR ω-SMASH COPRODUCT HOPF ALGEBRAS

Journal of Algebra and Its Applications, 2009
In this paper, the quasitriangular structures of ω-smash coproduct Hopf algebras Bω ⋈ H as constructed by Caenepeel, Ion, Militaru and Zhu were studied. Necessary and sufficient conditions for ω-smash coproduct Hopf algebras to be quasitriangular Hopf algebras are given in terms of properties of their components.
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Quasitriangular Algebras, Bialgebras, Hopf Algebras and The Quantum Double

1997
Quasitriangular algebras give rise to solutions to the QYBE through their representations. Quasitriangular Hopf algebras have been very widely studied. See [Drinfel’d, 1987], [Drinfel’d, 1990], [Majid, 1990b], [Majid, 1991a], and [Radford, 1993b] for example.
Larry A. Lambe, David E. Radford
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Quasitriangular Pointed Hopf Algebras Constructed by Ore Extensions

Algebras and Representation Theory, 2004
The author considers a class of complex finite-dimensional pointed Hopf algebras which were constructed by \textit{M. Beattie}, \textit{S. Dăscălescu} and \textit{L. Grünenfelder} [J. Algebra 225, No. 2, 743-770 (2000; Zbl 0948.16026)], and determines which ones are quasitriangular.
openaire   +2 more sources

QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS

International Journal of Modern Physics A, 1990
This is an informal introduction to the theory of quasitriangular Hopf algebras and its connections with physics. Basic properties and applications of Hopf algebras and Yang-Baxter equations are reviewed, with the quantum group Uq(sl2) as a frequent example. The development builds up to the representation theory of quasitriangular Hopf algebras.
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Quasitriangular Hom-Hopf algebras

Colloquium Mathematicum, 2014
Yuanyuan Chen, Zhongwei Wang, Liangyun Zhang   +2 more
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Multiparameter quantum groups and twisted quasitriangular Hopf algebras

Letters in Mathematical Physics, 1990
On montre comment on peut obtenir des groupes quantiques multiparametres a partir des algebres de Hopf ...
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A new quasitriangular Hopf algebra as the nontrivial quantum double of a simplest C algebra and its universal R matrix for Yang-Baxter equation

, 1993
Chang-pu Sun, Xufeng Liu, M. Ge
semanticscholar   +1 more source

A class of braided monoidal categories via quasitriangular Hopf π-crossed coproduct algebras

, 2015
Tianshui Ma, Linlin Liu, Haiying Li
semanticscholar   +1 more source

Quasitriangular Hopf Algebras of Dimension pq

, 2002
S. Natale
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