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On the homomorphisms between scalar generalized Verma modules

Part of: Lie algebras and Lie superalgebras Lie groups

Published online by Cambridge University Press:  26 March 2014

Hisayosi Matumoto
Hisayosi Matumoto*
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8914, Japan email hisayosi@ms.u-tokyo.ac.jp
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Abstract

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In this article, we study the homomorphisms between scalar generalized Verma modules. We conjecture that any homomorphism between scalar generalized Verma modules is a composition of elementary homomorphisms. The purpose of this article is to confirm the conjecture for some parabolic subalgebras under the assumption that the infinitesimal characters are regular.

Keywords

generalized Verma modulesemisimple Lie algebradifferential invariant

MSC classification

Secondary: 17B10: Representations, algebraic theory (weights) 22E47: Representations of Lie and real algebraic groups
Type
Research Article
Information
Compositio Mathematica , Volume 150 , Issue 5 , May 2014 , pp. 877 - 892
Copyright
© The Author 2014 

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