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arXiv · 1210.1734

Loewy series of parabolically induced $G_1T$-Verma modules

Noriyuki Abe·Masaharu Kaneda
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Abstract

Assuming the Lusztig conjecture on the irreducible characters for reductive algebraic groups in positive characteristic $p$, which is now a theorem for large $p$, we show that the modules for their Frobenius kernels induced from the simple modules of $p$-regular highest weights for their parabolic subgroups are rigid and determine their Loewy series.

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BibTeXRIS

Noriyuki Abe, Masaharu Kaneda. 2012-10-05. Loewy series of parabolically induced $G_1T$-Verma modules. https://doi.org/10.1017/s1474748014000012

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