Abstract

Let G be a connected reductive algebraic group over an algebraically closed field of prime characteristic p and 𝔤 be the Lie algebra of G. In this paper, we study the representations of 𝔤 when p-character has standard Levi form. An Ext-transfer from the Ext-groups of induced 𝔤-modules to its Levi subalgebras is obtained. Furthermore, we reduce the computation of the multiplicities of simple factors in baby Verma modules over 𝔤 to its Levi subalgebras.

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