Determinant and Character of W-infinity algebra

Preprint

20 September 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9405093

Abstract

We diagonalize the Hilbert space of some subclass of the quasifinite module of the \Winf 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 derived. The full character formulae of the degenerate representations are given as summation of the bilinear combinations of the Schur polynomials.

Keywords

INFINITY ALGEBRA
REPRESENTATIONS
HILBERT SPACE
EIGENVALUES
SUMMATION
COMMUTING
FORMULAE
NORMS

All Related Versions

Version 1, 1994-05-14, ArXiv
Version 2, 1994-09-20, ArXiv
Published version: Communications in Mathematical Physics, 172 (2), 377.

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