Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products
classification
🧮 math.RT
math.QA
keywords
reflectionalgebrassymplecticalgebraassociatedconstructionfunctorswreath-products
read the original abstract
The main result of the paper is a natural construction of the spherical subalgebra in a symplectic reflection algebra associated with a wreath-product in terms of quantum hamiltonian reduction of an algebra of differential operators on a representation space of an extended Dynkin quiver. The existence of such a construction has been conjectured in [EG]. We also present a new approach to reflection functors and shift functors for generalized preprojective algebras and symplectic reflection algebras associated with wreath-products.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.