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Explicit form of the zeta functions of prehomogeneous vector spaces

✍ Scribed by Hiroshi Saito

Publisher
Springer
Year
1999
Tongue
English
Weight
225 KB
Volume
315
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

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We show that there exist natural q-analogues of the b-functions for the prehomogeneous vector spaces 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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The purpose of this paper is to compute the explicit form of the relative invariants and their b-functions of a certain important prehomogeneous vector space appearing in the study of a cuspidal character sheaf of the exceptional group E . For every simple algebraic group excepting the type E , the