Derivations of Twisted Loop Algebras of Minimal Q-graded Subalgebras
Yaxin Shen, Xiandong Wang
TL;DR
This paper investigates the derivations of twisted loop algebras related to minimal Q-graded subalgebras of semisimple Lie algebras, providing a decomposition formula and characterizing certain derivations.
Contribution
It introduces a decomposition formula for derivation algebras and characterizes homogeneous almost inner derivations and twisted affinizations of these Lie algebras.
Findings
Derived a decomposition formula for derivation algebras.
Characterized homogeneous almost inner derivations.
Analyzed twisted affinizations of Lie algebras.
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras