Algebras of quotients of graded Lie algebras
Juana Sanchez Ortega, Mercedes Siles Molina
TL;DR
This paper investigates the structure of graded algebras of quotients of Lie algebras, focusing on the 3-graded case and their connection to maximal Jordan systems of quotients.
Contribution
It provides new insights into the relationship between graded Lie algebra quotients and Jordan systems, especially in the 3-graded scenario.
Findings
Analysis of 3-graded Lie algebra quotients
Connection established between Lie quotients and Jordan systems
Answers to natural questions about algebraic relations
Abstract
In this paper we explore graded algebras of quotients of Lie algebras with special emphasis on the 3-graded case and answer some natural questions concerning its relation to maximal Jordan systems of quotients.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry