Riddhi Shah

collaborators

5 papers

math.GR2026

Cartan subgroups in connected locally compact groups

Arunava Mandal, Riddhi Shah

We define Cartan subgroups in connected locally compact groups, which extends the classical notion of Cartan subgroups in Lie groups. We prove their existence and justify our choic…

math.GR2026

Twisted conjugacy classes in Lie groups

Ravi Prakash, Riddhi Shah

We consider twisted conjugacy classes of continuous automorphisms $I ¨ $ of a Lie group $G$ . We obtain a necessary and sufficient condition on $I ¨ $ for its Reidemeister number, the n…

math.DS2025

Dynamics of actions of automorphisms on the space of one-parameter subgroups of a torus and applications

Debamita Chatterjee, Himanshu Lekharu, Riddhi Shah

For a connected Lie group $G$ , we study the dynamics of actions of automorphisms of $G$ on certain compact invariant subspaces of closed subgroups of $G$ in terms of distality and…

math.DS2025

Characterisation of distal actions of automorphisms on the space of one-parameter subgroups of Lie groups

Debamita Chatterjee, Riddhi Shah

For a connected Lie group $G$ and an automorphism $T$ of $G$ , we consider the action of $T$ on Sub $_{G}$ , the compact space of closed subgroups of $G$ endowed with the Chabauty topol…

math.GR2025

On the almost algebraicity of groups of automorphisms of connected Lie groups

S. G. Dani, Riddhi Shah

Let $G$ be a connected Lie group, $C$ be the maximal compact connected subgroup of the center of $G$ , and let Aut $(G)$ denote the group of Lie automorphisms of $G$ , viewed, canonic…