Matrix elements of vertex operators of deformed W-algebra and Harish Chandra Solutions to Macdonald's difference equations

Details Matrix elements of vertex operators of deformed W-algebra and Harish Chandra Solutions to Macdonald's difference equations Matrix elements of vertex operators of deformed W-algebra and Harish Chandra Solutions to Macdonald's difference equations

1997-02-08

arxiv.org/abs/q-alg/9702011v3

Mathematics

Quantum Algebra

28 pages, latex2e with the use of amstex, 1 Postscript figure, several propositions are added, couple typos are corrected, ano

Scientific paper

In this paper we prove that certain matrix elements of vertex operators of deformed W-algebra satisfy Macdonald difference equations and form n! -dimensional space of solutions. These solutions are the analogues of Harish Chandra solutions with prescribed asymptotic behavior. We obtain formulas for analytic continuation as a consequence of braiding properties of vertex operators of deformed W-algebra.

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