Mathematics – Combinatorics
Scientific paper
2007-04-27
Bull. London Math. Soc. 39 (2007), 837-847
Mathematics
Combinatorics
LaTeX, 12 pages
Scientific paper
10.1112/blms/bdm073
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.
la Maza C. de A.
Ryom-Hansen Steen
van Diejen Jan Felipe
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