Derivations of Twisted Loop Algebras of Minimal Q-graded Subalgebras

2025/07/15 by Shen, Yaxin, Xiandong Wang, Wang, Xiandong
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2507.10919

openalex publication_date 2025/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Derivations of twisted loop algebras of minimal Q-graded subalgebras of semisimple Lie algebras are investigated, and a decomposition formula of the derivation algebra is obtained. Homogenous almost inner derivations of twisted loop algebras and twisted affinizations of these Lie algebras are determined.

Citations

• A computational approach to almost-inner derivations
• Almost inner derivations of some nilpotent Leibniz algebras
• Almost inner derivations of 2-step nilpotent Lie algebras of genus 2
• Almost inner derivations of Lie algebras II
• Almost inner derivations of Lie algebras
• Derivations of tensor product of algebras

Related

• Almost Inner Derivations of Affinizations of Minimal Q-graded Subalgebras
• Derivations of certain algebras defined by étale descent
• The twisting procedure
• A block decomposition of finite-dimensional representations of twisted loop algebras
• Automorphisms and twisted loop algebras of finite dimensional simple Lie superalgebras