Handsaw quiver varieties and finite -algebras

Abstract: Following Braverman-Finkelberg-Fegin-Rybnikov (arXiv:1008.3655), we study the convolution algebra of handsaw quiver varieties, a.k.a. Laumon spaces, and finite -algebras of type . A new observation is that their simple modules are described in terms of IC sheaves of graded quiver varieties of type , which were known to be related to Kazhdan-Lusztig polynomials of type . This confirms a conjecture by Brundan-Kleshchev.
nakajima@kurims.kyoto-u.ac.jp