๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

โœ Scribed by Jun'Ichi Shiraishi; Harunobu Kubo; Hidetoshi Awata; Satoru Odake

Publisher
Springer
Year
1996
Tongue
English
Weight
703 KB
Volume
38
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

โœฆ Synopsis

A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Virasoro algebra. Singular vectors are expressed by the Macdonald symmetric functions. This is proved by constructing screening currents acting on the bosonic Fock space.

๐Ÿ“œ SIMILAR VOLUMES

Tilting Modules, Symmetric Functions, an
Tilting Modules, Symmetric Functions, and the Module Structure of the Free Lie Algebra
โœ Stephen Donkin; Karin Erdmann ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 302 KB

Let E denote the natural module for the general linear group GL k n over an infinite field k of non-zero characteristic p. We consider here modules which are direct summands of the dth tensor power E md . The original motivation was to study the free Lie algebra. Let L be the d homogeneous component