Branching Rules for Splint Root Systems

نویسندگان

چکیده

A root system is splint if it a decomposition into union of two disjoint systems. Examples such systems arise naturally in studying embeddings reductive Lie subalgebras simple algebras. Given system, one can try to understand its branching rule. In this paper we discuss methods rules, and give precise formulas for specific cases, including the restriction functor from exceptional algebra $\mathfrak {g}_{2}$ {sl}_{3}$ .

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ژورنال

عنوان ژورنال: Algebras and Representation Theory

سال: 2021

ISSN: ['1386-923X', '1572-9079']

DOI: https://doi.org/10.1007/s10468-021-10055-9