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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 5, 2018 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)
 


Algebras with quantum traces and Quantum double

D. I. Gurevich

Valenciennes University, France

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Abstract: The purpose of my talk is twofold. First, I plan to consider some algebras related to braidings (i.e. solutions to the Quantum Yang-Baxter equation), which admit introducing quantum traces. Also, I plan to discuss non-unimodular Poisson brackets giving rise to algebras with quantum traces. Second, I plan to introduce some doubles of quantum algebras and to get a new differential calculus arising from such quantum doubles. In particular, such a calculus on the enveloping algebras U(gl(n)) and their braided analogs will be introduced.

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