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

Atsushi Kamita
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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.

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Atsushi Kamita. 2000-06-28. Quantum b-functions of prehomogeneous vector spaces of commutative parabolic type. https://arxiv.org/abs/math/0006209

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