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arXiv:0704.3650 [math.CO]AbstractReferencesReviewsResources

Bernstein-Szego Polynomials Associated with Root Systems

J. F. van Diejen, A. C. de la Maza, S. Ryom-Hansen

Published 2007-04-27Version 1

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.

Comments: LaTeX, 12 pages
Journal: Bull. London Math. Soc. 39 (2007), 837-847
Categories: math.CO
Subjects: 05E05, 05E35
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