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math.RT2020
Banach space representations of Drinfeld-Jimbo algebras and their complex-analytic forms
Oleg Aristov
We prove that every non-degenerate Banach space representation of the Drinfeld-Jimbo algebra of a semisimple complex Lie algebra is finite dimens…
math.FA2020★ 3 cited
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 b…
math.FA2020★ 8 cited
On holomorphic reflexivity conditions for complex Lie groups
Oleg Aristov
We consider Akbarov's holomorphic version of the non-commutative Pontryagin duality for a complex Lie group. We prove, under the assumption that is a Stein group with finitely…