4 papers
math.FA2025
Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation
Sourav Ghosh
In this note, we develop a parallel theory of the classical Sz.-Nagy--Foias dilation and model theory for a single contraction operator in the setting of pairs of \em{-commuting…
math.GT2025
Isospectrality of Margulis-Smilga spacetimes for irreducible representations of real split semisimple Lie groups
Sourav Ghosh
In this article, we look at real split semisimple algebraic groups with trivial center and faithful irreducible algebraic representations of …
math.DS2024
Affine Anosov representations
Sourav Ghosh
In this survey article we discuss about possible generalizations of Anosov representations in the affine setting and their consequences.
math.GT2024
Avatars of Margulis invariants and proper actions
Sourav Ghosh
In this article, we provide a necessary and sufficient criterion for proper actions on in terms of certain special Anosov representations in …