Level-0 structure of level-1 Uq(sl2)-modules and Macdonald polynomials

M. Jimbo; R. Kedem; H. Konno; T. Miwa; J. U.H. Petersen

doi:10.1088/0305-4470/28/19/014

Level-0 structure of level-1 U_q(sl₂)-modules and Macdonald polynomials

M. Jimbo, R. Kedem, H. Konno, T. Miwa, J. U.H. Petersen

Research output: Contribution to journal › Article › peer-review

Abstract

The level-1 integrable highest weight modules of U_q(sl ₂) admit a level-0 action of the same algebra. This action is defined using the affine Hecke algebra and the basis of the level-1 module generated by components of vertex operators. Each level-1 module is a direct sum of finite-dimensional irreducible level-0 modules, whose highest weight vector is expressed in terms of Macdonald polynomials. This decomposition leads to the fermionic character formula for the level-1 modules.

Original language	English (US)
Article number	014
Pages (from-to)	5589-5606
Number of pages	18
Journal	Journal of Physics A: Mathematical and General
Volume	28
Issue number	19
DOIs	https://doi.org/10.1088/0305-4470/28/19/014
State	Published - 1995
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

Online availability

10.1088/0305-4470/28/19/014

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Cite this

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