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

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

2000-06-28

arxiv.org/abs/math/0006209v1

Mathematics

Quantum Algebra

24 pages, LaTeX2e

Scientific paper

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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