3 papers
math.FA2026
Homological dimensions of algebras of analytic functionals and their completions
Oleg Aristov
We show that the main homological dimensions of the algebra of analytic functionals on a connected complex Lie group, as well as some of its completions, coincide with the dimensio…
math.FA2026
Algebras of analytic functionals and homological epimorphisms
Oleg Aristov
It has been proved by the author [arXiv: 2404.19433] that the Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism. We show here that for algebras of analy…
math.FA2026
The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism
Oleg Aristov
The Arens-Michael envelope of the universal enveloping algebra of a finite-dimensional complex Lie algebra is a homological epimorphism if and only if the Lie algebra is solvable.…