Dmitriy Voloshyn

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math.RT2025

Multiple rational normal forms in Lie theory

Dmitriy Voloshyn

We study the decomposition of a generic element $g \in G$ of a connected reductive complex algebraic group $G$ in the form $g = N (g) B (g) u ˉ N (g)^{- 1}$ where $N: G \dashrighta…

math.RT2025

Starfish lemma via birational quasi-isomorphisms

Dmitriy Voloshyn

We study birational quasi-isomorphisms between normal Noetherian domains endowed with cluster structures of geometric type. We prove an analogue of the Starfish lemma that allows o…