Maximal closed subroot systems of real affine root systems
Krishanu Roy, R. Venkatesh
TL;DR
This paper classifies maximal closed subroot systems of real affine root systems and provides a method to classify regular subalgebras of affine Kac-Moody algebras based on their root systems.
Contribution
It offers a complete classification and explicit descriptions of maximal closed subroot systems in real affine root systems, advancing understanding of their structure.
Findings
Complete classification of maximal closed subroot systems
Explicit descriptions of these subroot systems
Procedure for classifying regular subalgebras of affine Kac-Moody algebras
Abstract
We completely classify and give explicit descriptions of the maximal closed subroot systems of real affine root systems. As an application we describe a procedure to get the classification of all regular subalgebras of affine Kac Moody algebras in terms of their root systems.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics