On the relation between $U_q(\widehat{sl(2)})$ vertex operators and $q$-zonal functions

Abstract

We show how the states constructed from the action of the modes of bosonized vertex operators, that intertwine $U_q(\widehat{sl(2)})$ modules, are related to $q$-zonal functions.

12 pages, Latex

References in corpus (1)

• A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture