Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

Small representations for reduced enveloping algebras

Lewis Topley

created by daniele on 13 Apr 2015
modified on 30 Apr 2015

30 apr 2015 -- 16:00

Aula Riunioni, DM, Pisa

Seminari di Algebra, Topologia e Combinatoria, Pisa


Although the ordinary representation theory of Lie algebras is extremely well developed, progress has been much slower in the modular case. A breakthrough was made twenty years ago when Premet proved a long-standing conjecture bounding the dimensions of modules. His techniques led to the discovery of finite W-algebras, and the latter theory has recently culminated in another milestone, showing that the bound mentioned before is best possible. I shall review the development of this theory and discuss some very recent results of mine regarding the structure theory of certain modular finite W-algebras.

Credits | Cookie policy | HTML 5 | CSS 2.1