English

Hypergeometric theta functions and elliptic Macdonald polynomials

Quantum Algebra 2008-01-29 v2

Abstract

Elliptic Macdonald polynomials of sl(2)-type and level 2 are introduced. Suitable limits of elliptic Macdonald polynomials are the standard Macdonald polynomials and conformal blocks. Identities for elliptic Macdonald polynomials, in particular their modular properties, are studied.

Keywords

Cite

@article{arxiv.math/0309452,
  title  = {Hypergeometric theta functions and elliptic Macdonald polynomials},
  author = {Giovanni Felder and Alexander Varchenko},
  journal= {arXiv preprint arXiv:math/0309452},
  year   = {2008}
}

Comments

16 pages, reference added