Invertible bimodule categories over the representation category of a Hopf algebra
نویسندگان
چکیده
منابع مشابه
The Fusion Algebra of Bimodule Categories
We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appropriate morphism spaces of those bimodule categories. This provides a purely categorical proof of a conjecture by Ostrik concerning the structure of F . As a by-product we obtain a concrete expression for the structure...
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For a Hopf algebra H over a commutative ring k and a left H-module V, the tensor endofunctors V k - and - kV are left adjoint to some kinds of Hom-endofunctors of _HM. The units and counits of these adjunctions are formally trivial as in the classical case.The category of (bi-) modules over a quasi-Hopf algebra is monoidal and some generalized versions of Hom-tensor relations have been st...
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Definition 3. Let B be a ring. Then, we denote by B [[t]] the ring of formal power series over B in the indeterminate t, where t is supposed to commute with every element of B. Formally, this means that we define B [[t]] as the ring of all sequences (b0, b1, b2, ...) ∈ BN (where N means the set {0, 1, 2, ...}), with addition defined by (b0, b1, b2, ...) + (b ′ 0, b ′ 1, b ′ 2, ...) = (b0 + b ′ ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2014
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2014.03.007