Drinfeld coproduct, quantum fusion tensor category and applications
نویسندگان
چکیده
منابع مشابه
Drinfeld Coproduct, Quantum Fusion Tensor Category and Applications
The class of quantum affinizations (or quantum loop algebras, see [Dr2, CP3, GKV, VV2, Mi1, N1, Jin, H3]) includes quantum affine algebras and quantum toroidal algebras. In general they have no Hopf algebra structure, but have a “coproduct” (the Drinfeld coproduct) which does not produce tensor products of modules in the usual way because it is defined in a completion. In this paper we propose ...
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The category of Yetter-Drinfeld modules YD K over a Hopf algebra K (with bijektive antipode over a field k) is a braided monoidal category. If H is a Hopf algebra in this category then the primitive elements of H do not form an ordinary Lie algebra anymore. We introduce the notion of a (generalized) Lie algebra in YD K such that the set of primitive elements P (H) is a Lie algebra in this sense...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2007
ISSN: 0024-6115
DOI: 10.1112/plms/pdm017