Lie algebra of column-finite infinite matrices: ideals and derivations

2018/06/04 by Waldemar Hołubowski, Hołubowski, Waldemar, Sebastian Żurek +1
Engineering · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1806.01099

openalex publication_date 2018/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we shall consider the Lie algebra of column-finite infinite matrices indexed by positive integers ℕ, describe the lattice of its ideals for arbitrary field K and study its derivations over any commutative, unital ring R.

Related

• Derivations of rings of infinite matrices
• Automorphisms and derivations of algebras of infinite matrices
• Representation Theory of some Infinite-dimensional Algebras Arising in Continuously Controlled Algebra and Topology
• Ideal Extensions and Directly Infinite Algebras
• Ideals of general linear Lie algebras of infinite-dimensional vector spaces