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Crew, Logan; Kirillov, Alexandre A.; Yeo, Yao-Rui
Algebras and representation theory, 08/2022, Letnik: 25, Številka: 4Journal Article
A root system is splint if it is a decomposition into a union of two disjoint root systems. Examples of such root systems arise naturally in studying embeddings of reductive Lie subalgebras into simple Lie algebras. Given a splint root system, one can try to understand its branching rule. In this paper we discuss methods to understand such branching rules, and give precise formulas for specific cases, including the restriction functor from the exceptional Lie algebra g 2 to s l 3 .
