Duals of colored quantum universal enveloping algebras and colored universal T-matrices
نویسندگان
چکیده
منابع مشابه
Duals of coloured quantum universal enveloping algebras and coloured universal T -matrices
We extend the notion of dually conjugate Hopf (super)algebras to the coloured Hopf (super)algebras Hc that we recently introduced. We show that if the standard Hopf (super)algebras Hq that are the building blocks of Hc have Hopf duals H∗ q , then the latter may be used to construct coloured Hopf duals Hc∗, endowed with coloured algebra and antipode maps, but with a standard coalgebraic structur...
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Given an associative algebra A, and the category, C, of its finite dimensional modules, additional structures on the algebra A induce corresponding ones on the category C. Thus, the structure of a rigid quasi-tensor (braided monoidal) category on RepA is induced by an algebra homomorphism A → A ⊗ A (comultiplication), coassociative up to conjugation by Φ ∈ A (associativity constraint) and cocom...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1998
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532378