Injectivity of a certain cycle map for finite dimensional W-algebras
arXiv:1009.2456
Abstract
We study a certain cycle map defined on finite dimensional modules for the W-algebra with regular integral central character. Via comparison with the theory in postive characteristic, we show that this map injects into the top Borel-Moore homology group of a Springer fibre. This is the first result in a larger program to completely desribe the finite dimensional modules for the W algebras.
Version 3. Arguments updated
References in corpus (8)
- Localization of modules for a semisimple Lie algebra in prime characteristic
- Noncommutative Counterparts of the Springer Resolution
- Koszul duality and modular representations of semi-simple Lie algebras
- Nilpotent orbits and finite W-algebras
- A Localization Theorem for Finite W-algebras
- Representations of semisimple Lie algebras in prime characteristic and noncommutative Springer resolution
- Singular localization and intertwining functors for reductive Lie algebras in prime characteristic
- Finite W-algebras