After the fundamental theorem for nonregular reductive prehomogeneous vector spaces was proved by A. Gyoja (Tsukuba J. Math. 14 (1990), 437-457), the construction of the theory of nonregular prehomogeneous vector spaces became an interesting problem. However, only Sp n ร GL 2 1 โ 2 1 M 2n 3 is known
โฆ LIBER โฆ
Quantum b-Functions of Prehomogeneous Vector Spaces of Commutative Parabolic Type
โ Scribed by Atsushi Kamita
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 198 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
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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