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