Ideals and derivations of the Lie algebra of column-finite infinite matrices

Waldemar Hołubowski,Sebastian Żurek

Ideals and derivations of the Lie algebra of column-finite infinite matrices

2018

Waldemar Hołubowski
Sebastian Żurek

We describe the lattice of ideals and derivations of the Lie algebra of infinite column-finite matrices. As a corollary, we obtain a new uncountably dimensional simple Lie algebra.

Keywords:

Corollary
Topology
Algebra
Lie algebra
Derivation
Lattice (order)
Mathematics
Matrix (mathematics)

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