On the simplicity of induced modules for reductive Lie algebras
Chaowen Zhang
TL;DR
This paper investigates the conditions under which induced modules for reductive Lie algebras over fields of positive characteristic are simple, providing a complete criterion for their simplicity.
Contribution
It offers a necessary and sufficient condition for the simplicity of induced modules for reductive Lie algebras in positive characteristic.
Findings
Established a complete criterion for simplicity
Characterized when induced modules are simple
Enhanced understanding of module structure in positive characteristic
Abstract
The simplicity of the induced modules for reductive Lie algebras over an algebraically closed field of positive characteristic is studied, and a necessary and sufficient condition for the simplicity is given.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Algebraic structures and combinatorial models