Projects per year
Abstract
We define analogues of Verma modules for finite W-algebras. By the usual ideas of highest weight theory, this is a first step toward the classification of finite-dimensional irreducible modules. We also introduce an analogue of the BGG category O. Motivated by known results in type A, we then formulate some precise conjectures in the case of nilpotent orbits of standard Levi type.
Original language | English |
---|---|
Pages (from-to) | 1-53 |
Number of pages | 53 |
Journal | International Mathematics Research Notices |
Volume | 2008 |
Issue number | 1 |
DOIs | |
Publication status | Published - 8 Jul 2008 |
Fingerprint
Dive into the research topics of 'Highest Weight Theory for Finite W-Algebras'. Together they form a unique fingerprint.Projects
- 1 Finished
-
Verma Modules for Finite W-algebras
Engineering & Physical Science Research Council
7/06/07 → 6/10/07
Project: Research Councils