Quantum 401-1401-1401-1algebras and Macdonald polynomials

1995/08/31 by H. Awata, Hidetoshi Awata, H. Kubo +5 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #math.QA #q-alg

paper · pdf · doi:10.1007/bf02102595

published as Commun. Math. Phys. 179 (1996) 401 · LaTeX file, 17-pages, no-figures, a reference added

arxiv created 1995/09/23 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We derive a quantum deformation of the W_N algebra and its quantum Miura transformation, whose singular vectors realize the Macdonald polynomials.

Citations

• Exact operator solution of the Calogero-Sutherland model
• Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1
• THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY WITH Zn SYMMETRY

Cited by

• The orthogonal eigenbasis and norms of eigenvectors in the spin Calogero - Sutherland model
• Deformed \cal W_N Algebras from Elliptic sl ( N ) Algebras
• Central extensions of classical and quantum q-Virasoro algebras
• A vertex operator approach for correlation functions of Belavin's (ℤ/nℤ)-symmetric model