3 papers
math.FA2025
Finitely -generated associative and Hopf algebras
Oleg Aristov
We introduce finitely -generated algebras, which can be treated as `algebras of functions' on non-commutative -differentiable spaces. Our approach uses the cate…
math.FA2024
Holomorphically finitely generated Hopf algebras and quantum Lie groups
Oleg Aristov
We study topological Hopf algebras that are holomorphically finitely generated (HFG) as Fréchet Arens--Micheal algebras in the sense of Pirkovskii. Some of them, but not all, can…
math.FA2024
Decomposition of the algebra of analytic functionals on a connected complex Lie group and its completions into iterated analytic smash products
Oleg Aristov
We show that a decomposition of a complex Lie group into a semidirect product generates that of the algebra of analytic functional, , into an analytic smash pr…