Eigensystem and full character formula of theW 1+? algebra withc = 1

1993/12/31 by H. Awata, Hidetoshi Awata, Masafumi Fukuma +5 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Character (mathematics) #Eigenvalues and eigenvectors #Field (mathematics) #Geometry #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Representation (politics) #Representation theory #Subalgebra #hep-th

paper · pdf · doi:10.1007/bf00762791

published as Lett.Math.Phys. 31 (1994) 289-298 · 12 pages, YITP/K-1049, SULDP-1993-1, RIMS-959, Plain TEX, ( New references )

arxiv created 1994/01/12 · openalex publication_date 1994/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

By using the free field realizations, we analyze the representation theory of the W_1+infinity algebra with c=1. The eigenvectors for the Cartan subalgebra of W_1+infinity are parametrized by the Young diagrams, and explicitly written down by W_1+infinity generators. Moreover, their eigenvalues and full character formula are also obtained.

Citations

• UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS
• W-symmetry in Conformal Field Theory
• Free fields and quasi-finite representation of 1+∞ algebra

Cited by

• Character and determinant formulae of quasifinite representation of theW 1+∞ algebra
• Collective field theory, Calogero-Sutherland model and generalized matrix models