Multiplication kernels

Abstract

We introduce the notion of multiplication kernels of birational and $D$-module type and give various examples. We also introduce the notion of a semi-classical multiplication kernel associated with an integrable system and discuss its quantization. Finally, we discuss geometric and algebraic aspects of method of separation of variables, and describe hypothetically a cyclic $D$-module for the generalized multiplication kernels for Hitchin systems for groups $G{L}_r$.

56 pages, latex

References in corpus (1)

• Non-abelian Abel's theorems and quaternionic rotation