Chandrasheel Bhagwat

collaborators

5 papers

math.GR2025

Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem

Chandrasheel Bhagwat, Shubham Jaiswal

In this article, we realize some groups as Galois groups over rational numbers and finite extension of rational numbers by studying right splitting of some exact sequences, Galois…

math.RT2025

Representation Equivalence of Lattices in Lie Groups

Chandrasheel Bhagwat, Kaustabh Mondal

Let $I^_{1}$ and $I^_{2}$ be two lattices of finite covolume in a semisimple Lie group $G$ . We prove a spectral rigidity result for the representation spectra of the right regular repr…

math.GR2025

Cluster Magnification, Root Capacity, Unique Chains and Base Change

Chandrasheel Bhagwat, Shubham Jaiswal

This article is inspired from the work of M Krithika and P Vanchinathan on Cluster Magnification and the work of Alexander Perlis on Cluster Size. We establish the existence of pol…

math.RT2024

Results on a Strong Multiplicity One Theorem

Chandrasheel Bhagwat, Gunja Sachdeva

We prove an analogue of the strong multiplicity one theorem in the context of $I ¨ _{n}$ -spherical representations of the group $G = S O (2, 1)^{\circ}$ appearing in $L^2(Î_i \backslash G)…

math.RT2024

On Infinitesimal $I ¨ $ -Isospectrality of Locally Symmetric Spaces

Chandrasheel Bhagwat, Kaustabh Mondal, Gunja Sachdeva

Let $(I ¨ , V_{I ¨} )$ be a finite dimensional representation of a maximal compact subgroup $K$ of a connected non-compact semisimple Lie group $G$ , and let $I^$ be a uniform torsion-fre…