paper

Quantum b-functions of prehomogeneous vector spaces of commutative parabolic type

arXiv:math/0006209

Abstract

We show that there exists a natural q-analogue of the b-function for the prehomogeneous vector space of commutative parabolic type, and calculate them explicitly in each case. Our method of calculating the b-functions seems to be new even for the original case q=1.

24 pages, LaTeX2e