EIGENSYSTEM AND FULL CHARACTER FORMULA OF THE W-1+INFINITY ALGEBRA WITH C=1

Authors
AWATA H FUKUMA M ODAKE S QUANO YH
Citation
H. Awata et al., EIGENSYSTEM AND FULL CHARACTER FORMULA OF THE W-1+INFINITY ALGEBRA WITH C=1, letters in mathematical physics, 31(4), 1994, pp. 289-298
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
31
Issue
4
Year of publication
1994
Pages
289 - 298
Database
ISI
SICI code
0377-9017(1994)31:4<289:EAFCFO>2.0.ZU;2-7
Abstract
By using the free field realizations, we analyze the representation th eory of the W-1+infinity algebra with c = 1. The eigenvectors for the Cartan subalgebra of W-1+infinity are parametrized by Young diagrams, and explicitly written down by W-1+infinity generators. Moreover, thei r eigenvalues and full character formula are also obtained.