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State of the art seminar

Monday, November 20, 2017 - 15:30
Seminar hall
Atibur Rahaman
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.



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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