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Traces on Finite W-algebras Publisher Accessed Terms of Use Detailed Terms Traces on Finite W-algebras
| Content Provider | Semantic Scholar |
|---|---|
| Author | Etingof, Citation Pavel Schedler, Travis Springer-Verlag Etingof, Pavel |
| Abstract | The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Abstract. We compute the space of Poisson traces on a classical W-algebra, i.e., linear functionals invariant under Hamiltonian derivations. Modulo any central character, this space identifies with the top cohomology of the corresponding Springer fiber. As a consequence , we deduce that the zeroth Hochschild homology of the corresponding quantum W-algebra modulo a central character identifies with the top cohomology of the corresponding Springer fiber. This implies that the number of irreducible finite-dimensional representations of this algebra is bounded by the dimension of this top cohomology, which was established earlier by C. Dodd using reduction to positive characteristic. Finally, we prove that the entire cohomology of the Springer fiber identifies with the so-called Poisson-de Rham homology (defined previously by the authors) of the centrally reduced classical W-algebra. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://dspace.mit.edu/openaccess-disseminate/1721.1/69989 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
