CHARACTER AND DETERMINANT FORMULAS OF QUASIFINITE REPRESENTATION OF THE W-1+INFINITY ALGEBRA

Authors
AWATA H FUKUMA M MATSUO Y ODAKE S
Citation
H. Awata et al., CHARACTER AND DETERMINANT FORMULAS OF QUASIFINITE REPRESENTATION OF THE W-1+INFINITY ALGEBRA, Communications in Mathematical Physics, 172(2), 1995, pp. 377-400
Citations number
37
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
172
Issue
2
Year of publication
1995
Pages
377 - 400
Database
ISI
SICI code
0010-3616(1995)172:2<377:CADFOQ>2.0.ZU;2-H
Abstract
We diagonalize the Hilbert space of some subclass of the quasifinite m odule of the W-1+infinity algebra. States are classified according to their eigenvalues for infinitely many commuting charges and the Young diagrams. The parameter dependence of their norms is explicitly derive d. The full character formulae of the degenerate representations are g iven as summation of the bilinear combinations of the Schur polynomial s.