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Orthogonality of Macdonald polynomials with unitary parameters

Representation Theory 2014-05-15 v2 High Energy Physics - Theory Mathematical Physics Combinatorics math.MP

Abstract

For any admissible pair of irreducible reduced crystallographic root systems, we present discrete orthogonality relations for a finite-dimensional system of Macdonald polynomials with parameters on the unit circle subject to a truncation relation.

Keywords

Cite

@article{arxiv.1301.1276,
  title  = {Orthogonality of Macdonald polynomials with unitary parameters},
  author = {J. F. van Diejen and E. Emsiz},
  journal= {arXiv preprint arXiv:1301.1276},
  year   = {2014}
}

Comments

26 pages, updated references, correction of typos. To appear in Math. Z