Gradings by Groups on Graded Cartan Type Lie Algebras
Jason McGraw

TL;DR
This paper classifies all gradings by certain abelian groups on simple graded Cartan type Lie algebras over fields with characteristic p > 2, providing a comprehensive understanding of their grading structures.
Contribution
It offers a complete classification of gradings by abelian groups without elements of order p on simple graded Cartan type Lie algebras, a previously uncharted area.
Findings
All such gradings are explicitly described.
The classification covers all simple graded Cartan type Lie algebras.
Provides a foundation for further structural analysis.
Abstract
In this paper we describe all gradings by abelian groups without elements of order p, where p > 2 is the characteristic of the base field, on the simple graded Cartan type Lie algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Sphingolipid Metabolism and Signaling · Algebraic structures and combinatorial models
