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Killing Form on Quasitriangular Hopf Algebras and Quantum Lie Algebras
, 1995 LaTeX file, 43 pages, no figures, uses "mssymb.tex ...
openaire +2 more sources
Universal R-matrices for finite Abelian groups - a new look at graded multilinear algebra
, 1995 The universal R-matrices and, dually, the coquasitriangular structures of the group Hopf algebra of a finite Abelian group (resp. of an arbitrary Abelian group) are determined.
Bonn Univ. (Germany). Physikalisches Inst. +1 more
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A Q-Operator for Open Spin Chains II: Boundary Factorization. [PDF]
Commun Math PhysCooper A, Vlaar B, Weston R.
europepmc +1 more source
Squared Hopf algebras and reconstruction theorems
, 1997 Given an abelian -linear rigid monoidal category , where is a perfect field, we define squared coalgebras as objects of cocompleted ⨂ (Deligne's tensor product of categories) equipped with the appropriate notion of comultiplication.
Lyubashenko, Volodymyr
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Quasitriangular Hopf algebras whose group-like elements form an abelian group
, 1996 S. Westreich
semanticscholar +1 more source
Dualities for universal (co)acting Hopf monoids
In general, universal (co)measuring (co)monoids and universal (co)acting bi/Hopf monoids, which prove to be a useful tool in the classification of quantum symmetries, do not always exist.
Gordienko, Alexey +2 more
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On minimal quasitriangular pointed Hopf~ algebras
On minimal quasitriangular pointed Hopf~ algebrasopenaire
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Constructing Quasitriangular Hopf Algebras
Communications in Algebra, 2015This paper is devoted to constructing quasitriangular bialgebras (or Hopf algebras). The tool we use is a new coproduct, we call it the unified coproduct, in the construction of which a Hopf algebra and an algebra are connected by three algebra maps: two coactions and a generalized cocycle.
Quanguo Chen, Ding-Guo Wang
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Doubles of quasitriangular hopf algebras
Communications in Algebra, 1991Let H be a finite dimensional Hopf algebra and D(H) the associated ”quantum double” quasitriangular Hopf algebra of Drin-feld. Previously we showed that as an example of a double cross product of Hopf algebras H H ∗op acting on each other. We now show that if H is itself quasitriangular then D(H) is a semidirect"biproduct"in the sense of Radford: There
Shahn Majid
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