Induced modules for modular Lie algebras

2013/12/01 by Donald W. Barnes, Barnes, Donald W. · 1 citation
Mathematics · #17B50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1312.0163

openalex publication_date 2013/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let L be a finite-dimensional Lie algebra over a field of non-zero characteristic and let S be a subalgebra. Suppose that X is a finite set of finite-dimensional L-modules. Let D be the category of all finite-dimensional S-modules. Then there exists a category C of finite-dimensional L-modules containing the modules in X such that the restriction functor Res:C → D has a left adjoint Ind:D → C.

Citations

• Character clusters for Lie algebra modules over a field of non-zero characteristic

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• Blocks of representations of Lie algebras

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