On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras

Haian He; Toshihisa Kubo; Roger Zierau

doi:10.1215/21562261-2019-0027

Abstract

In this article, we explicitly list all reducible scalar-type generalized Verma modules for all maximal parabolic subalgebras of the simple complex Lie algebras.

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Haian He. Toshihisa Kubo. Roger Zierau. "On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras." Kyoto J. Math. 59 (4) 787 - 813, December 2019. https://doi.org/10.1215/21562261-2019-0027

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Received: 1 February 2016; Revised: 1 February 2017; Accepted: 12 June 2017; Published: December 2019

First available in Project Euclid: 25 September 2019

zbMATH: 07193998

MathSciNet: MR4032200

Digital Object Identifier: 10.1215/21562261-2019-0027

Subjects:

Primary: 17B10

Secondary: 22E46

Keywords: generalized Verma modules , Gyoja’s conjecture , reducibility points

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