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On the homomorphisms between scalar generalized Verma modules

Published online by Cambridge University Press:  26 March 2014

Hisayosi Matumoto*
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8914, Japan email [email protected]
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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.

Type
Research Article
Copyright
© The Author 2014 

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