科研之友
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摘要
We show that the modules for the Frobenius kernel of a reductive algebraic group over an algebraically closed field of positive characteristic p induced from the p-regular blocks of its paraboli subgroups can be Z-graded. In particular, we obtain that the modules induced from the simple modules of p-regular highest weights are rigid and determine their Loewy series, assuming the Lusztig conjecture on their reducible characters for the reductive algebraic groups, which is now a theorem for large p. We say that a module is rigid if and only if it admits a unique filtration of minimal length with each subquotient semisimple, in which case the filtration is called the Loewy series
- 出版日期2015-1
