Riddhi Shah

collaborators

4 papers

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.GR2025

Twisted conjugacy classes in Lie groups

Ravi Prakash, Riddhi Shah

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

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, c…

math.DS2024

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…