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Article overview
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Bernstein-Szego Polynomials Associated with Root Systems | J.F. van Diejen
; A.C. de la Maza
; S. Ryom-Hansen
; | Date: |
27 Apr 2007 | Subject: | Combinatorics (math.CO) | Abstract: | We introduce multivariate generalizations of the Bernstein-Szego polynomials,
which are associated to the root systems of the complex simple Lie algebras.
The multivariate polynomials in question generalize Macdonald’s Hall-Littlewood
polynomials associated with root systems. For the root system of type A1
(corresponding to the Lie algebra SL (2;C)) the classic Bernstein-Szego
polynomials are recovered. | Source: | arXiv, arxiv.0704.3650 | Services: | Forum | Review | PDF | Favorites |
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