Symmetric and nonsymmetric Macdonald polynomials
Copyright policy )Symmetric and nonsymmetric Macdonald polynomials
The symmetric Macdonald polynomials are able to be constructed out of the non-symmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their non-symmetric counterparts. In taking this approach we are able to obtain new results as well as simpler and more accessible derivations of a number of the known fundamental properties of both kinds of polynomials.
AMS-Latex, 24 pages
Symmetric functions and generalizations, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Macdonald polynomials, \(q\)-Selberg integral, Jack polynomials, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), 33D99
Symmetric functions and generalizations, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Macdonald polynomials, \(q\)-Selberg integral, Jack polynomials, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), 33D99
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