SOCLE SERIES OF COHOMOLOGY GROUPS OF LINE BUNDLES ON G/B

[摘要] The G-module structure of the cohomology groups of line bundles over the flag variety G/B for a semisimple algebraic group G is studied. It is proved that, generically, their socle filtrations satisfy the same sum formula as Andersen's filtrations if Lusztig's conjecture is true. Another purpose of this paper is to calculate the socle series of the H0's for the p-regular weights close to a chamber wall for the group of type G2, because the multiplicity is not free in this case.

[发布日期] 1991-07-26