Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac |
| |
Authors: | Christiane Martin Alain Piard |
| |
Institution: | (1) Physique-Mathématique, Université de Bourgogne, B.P. 138, F-21004 Dijon Cedex, France |
| |
Abstract: | We consider a class of indecomposable modules over the Virasoro Lie algebra that we call bounded admissible modules. We get results concerning the center and the dimensions of the weight spaces. We prove that these modules always contain a submodule with one-dimensional weight spaces. From this follows the proof of a conjecture of V. Kac concerning the classification of simple admissible modules.Preprint Université de Bourgogne-mai 1990 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |