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State of the art seminar

Date/Time: 
Monday, November 20, 2017 - 15:30
Venue: 
Seminar hall
Speaker: 
Atibur Rahaman
Affiliation: 
NISER
Title: 
Partial dual construction for C*-Quantum groups

Given a Hopf algebra H in a braided category \mathcal{C} and a projection H\longrightarrow A to a Hopf subalgebra, one can construct a Hopf algebra r_{A}(H), called the partial dualization of H , with a projection to Hopf algebra dual to A​. A non-degenerate Hopf pairing \omega :A\otimes B \longrightarrow 1 induces a braided equivalence between the Yetter-Drinfeld modules over a Hopf algebra and its partial dualization. In this seminar, we shall discuss this procedure in the general setting of C*-Quantum groups.

 

Reference:

1. Alexander Barvels, Simon Lentner, Christoph Schweigert, Partially dualized Hopf algebras have equivalent Yetter–Drinfel’d modules, Journal of Algebra 430 (2015) 303–342

2. Ralf Meyer, Sutanu Roy, Stanislaw Lech Woronowicz, Quantum group-twisted tensor products of C*-algebras II, J. Noncommut. Geom., 10 (2016), no. 3, 859-888. 

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