Twisting functors and generalized Verma modules

Musson, Ian

doi:10.1090/proc/14310

Twisting functors and generalized Verma modules
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by Ian M. Musson PDF

Proc. Amer. Math. Soc. 147 (2019), 1013-1022 Request permission

Abstract:

Let $\mathfrak {g}$ be a reductive Lie algebra. We give a condition that ensures that the character of a generalized Verma module is well behaved under a twisting functor. We show that a similar result holds for basic classical simple Lie superalgebras. The result is used in another work of the author to obtain a Jantzen sum formula for certain highest weight modules over type A Lie superalgebras.

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