|
|||||
|
|
A Lie-Theoretic Construction of Spherical Symplectic Reflection Algebras |
|
| Authors: | P Etingof S Loktev A Oblomkov L Rybnikov |
| Institution: | 1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA 2. Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya ul., 25, Moscow, 117218, Russia 3. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA |
| Abstract: | We propose a construction of the spherical subalgebra of a symplectic reection algebra of an arbitrary rank corresponding to a star-shaped affine Dynkin diagram. Namely, it is obtained from the universal enveloping algebra of a certain semisimple Lie algebra by the process of quantum Hamiltonian reduction. As an application, we propose a construction of finite-dimensional representations of the spherical subalgebra. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |