Intertwining differential operators and reducibility of generalized Verma modules
β Scribed by Jing-song Huang
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 806 KB
- Volume
- 297
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Let G be a connected semisimple algebraic group over C, P a parabolic subgroup, g and p their Lie algebras. We prove a microlocal version of Gyoja's conjectures [2] about a relation between the irreducibility of generalized Verma modules on g induced from p and the zeroes of b-functions of P -semi-i
ww xx Let k be an algebraically closed field of characteristic zero, O O s k x , . . . , x n 1 n the ring of formal power series over k, and D D the ring of differential operators n over O O . Suppose that is a prime ideal of O O of height n y 1; i.e., A s O O r is a n n n curve. We prove that every
Let in and p be increasing cont~inuous functions on [O. 11. ~( 0 ) =0, p ( 0 ) = 0 , and hEB[O, 13 (the space of ali bounded measurable functions 011 [0, rp(.)+h(.) j-(4s) clnc(s)EC[O, 13: and define for such functions f : Evidently, if b is continuous, the definition of DmDp concides with the us