Verma modules over a class of Block type Lie algebras
Qiufan Chen, Jianzhi Han
TL;DR
This paper fully characterizes when Verma modules over certain Block type Lie algebras are irreducible, providing a method that can also be applied to non-weight modules.
Contribution
It offers a complete irreducibility classification for Verma modules over a specific class of Block type Lie algebras and introduces a versatile approach for non-weight modules.
Findings
Complete irreducibility criteria established
Method applicable to non-weight modules
Advances understanding of Block type Lie algebra representations
Abstract
Irreducibilities of Verma modules over a class of Block type Lie algebras are completely determined. The approach developed in the present paper can be used to deal with non-weight modules.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras