Ribbon Categories and Drinfeld Double of a Finite Group.
主 题: Ribbon Categories and Drinfeld Double of a Finite Group.
报告人: Michel Broué (Université Paris Diderot)
时 间: 2016-06-23 16:00 - 17:00
地 点: BICMR Yard 78 , 77201(room)
The Drinfeld Double of a Finite Group has been introduced and studied in the Eighties both by theoretical physicists working on conformal field theory and by mathematicians working on Representation Theory and Quantum Groups. It is a Hopf algebra built from a finite group algebra as a particular case of a general construction due to Drinfeld. The representation category of the Drinfeld Double of a Finite Group provides an example of a Ribbon Category, which carries in particular a representation of GL_2(Z) on its Grothendieck group. That representation plays a key role in characters of finite reductive groups and more generally in the Spetses program. We shall revisit this well known area.