Automorphisms and derivations of algebras of infinite matrices
Oksana Bezushchak
TL;DR
This paper characterizes the automorphisms and derivations of key associative and Lie algebras composed of infinite matrices over a field, enhancing understanding of their structural symmetries.
Contribution
It provides a comprehensive description of automorphisms and derivations for various infinite matrix algebras, a topic not fully explored before.
Findings
Explicit descriptions of automorphisms and derivations
Application to structural analysis of infinite matrix algebras
Extension of known results to new classes of algebras
Abstract
We describe automorphisms and derivations of several important associative and Lie algebras of infinite matrices over a field.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research