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Character and determinant formulae of quasifinite representation of theW 1+∞ algebra

1995; Springer Science+Business Media; Volume: 172; Issue: 2 Linguagem: Inglês

10.1007/bf02099433

1432-0916

Hidetoshi Awata, Masafumi Fukuma, Yutaka Matsuo, Satoru Odake,

Advanced Topics in Algebra

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.