NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT

REPRESENTATION THEORY AND RELATED TOPICS SEMINAR


Ivan Loseu

(Northeastern University)
  Classification of Finite Dimensional Irreducible
Representations of W-algebras

ABSTRACT: (Finite) W-algebras are certain associative algebras arising in Lie theory and generalizing universal enveloping algebras of semisimple Lie algebras. In this talk I plan to explain several results regarding classification of their finite dimensional irreducibles. I will start by recalling a definition that first appeared as such in 1108.4171. Then I will explain results of 0807.1023 that provide an "almost complete classification": a classification modulo certain finite group of outer automorphisms. Finally, I will plan to explain my work with V. Ostrik that completes the classification for representations with integral central characters by describingthe group action.

September 30, 2011
10:30 - 11:30
511 Lake Hall

For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html  or contact Alex Martsinkovsky alexmart >at< neu >dot< edu