Loewy series of certain indecomposable modules for Frobenius subgroups

Lin, Zong Zhu

doi:10.1090/S0002-9947-1992-1052908-4

Loewy series of certain indecomposable modules for Frobenius subgroups
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Trans. Amer. Math. Soc. 332 (1992), 391-409 Request permission

Abstract:

We imitate some approaches in infinite dimensional representation theory of complex semisimple Lie algebras by using the truncated category method in the categories of modules for certain Frobenius subgroups of a semisimple algebraic group over an algebraically closed field of characteristic $p > 0$. By studying the translation functors from $p$-singular weights to $p$-regular weights, we obtain some results on Loewy series of certain indecomposable modules.

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