Hopf algebra representations and tensor categories
Coordinator: Sebastian Burciu
Thursday, May 15, 2014
2:00 pm in Room 309310 "Gheorghe Vranceanu", IMAR
Adriana Balan (UPB)
An introduction to Hopf monads, (III)
Thursday, January 30, 2014
2:00 pm in Room 309310 "Gheorghe Vranceanu", IMAR
Adriana Balan (UPB)
An introduction to Hopf monads, (II)
Thursday, January 23, 2014
2:00 pm in Room 309310 "Gheorghe Vranceanu", IMAR
Adriana Balan (UPB)
An introduction to Hopf monads
Abstract: This is an introduction in the theory of Hopf monads in autonomous categories.
We follow the recent developments obtained by Bruguieres, Lack and Virelizier.
Hopf monads generalize Hopf algebras to nonbraided settings and any monoidal adjunction
between autonomous categories gives rise to a Hopf monad. We present extensions of many fundamental
results of the theory of Hopf algebras (such as the decomposition of Hopf modules, the existence of
integrals, Maschke criterium of semisimplicity etc) to Hopf monads.
Thursday, January 16, 2014
2:00 pm in Room 309310 "Gheorghe Vranceanu", IMAR
Costel Bontea (Univ. New Hampshire)
Modified supergroup algebras and the classification of finite dimensional triangular Hopf algebras
Abstract: We describe the role of modified supergroup algebras in the classification of finite
dimensional triangular Hopf algebras. The talk is based on the papers of N. Andruskiewitsch,
P. Etingof and S. Gelaki, "Triangular Hopf algebras with the Chevalley property" (Michigan Math. J. 49, 2001)
and of P. Etingof and S. Gelaki, "The classification of finite dimensional triangular Hopf algebras over an
algebraically closed field" (Mosc. Math. J. 3, 2003).
Thursday, December 5, 2013
2:00 pm in Room 309310 "Gheorghe Vranceanu", IMAR
Sebastian Burciu
(IMAR)
Class equation and factorizable Hopf algebras, (III)
Thursday, November 28, 2013
2:00 pm in Room 309310 "Gheorghe Vranceanu", IMAR
Sebastian Burciu
(IMAR)
Class equation and factorizable Hopf algebras, (II)
Thursday, November 14, 2013
2:00 pm in Room 309310 "Gheorghe Vranceanu", IMAR
Sebastian Burciu
(IMAR)
Class equation and factorizable Hopf algebras
Abstract: In this talk we present Lorenz's proof for the class
equation of a semisimple Hopf algebras. We recall the notion of a
factorizable Hopf algebra and we will prove that the Drinfeld
double of a Hopf algebra is alawys factorizable. Using class equation we show
that the dimension of any irreducible
module of a semisimple factorizable Hopf algebra divides the dimension of the Hopf algebra.
Thursday, November 7, 2013
2:00 pm in Room 309310 "Gheorghe Vranceanu", IMAR
Sebastian Burciu
(IMAR)
Character theory for semisimple Hopf algebras
Abstract: The character algebra of an arbitrary Hopf algebra
is defined. In analogy to group representation theory we prove
some properties of the character algebra for finite dimensional Hopf
algebras. For a semisimple Hopf algebra we show that the character
algebra is also semisimple and that the orthogonality relations
hold.
