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math.RT2025
Representation Equivalence of Lattices in Lie Groups
Chandrasheel Bhagwat, Kaustabh Mondal
Let and be two lattices of finite covolume in a semisimple Lie group . We prove a spectral rigidity result for the representation spectra of the right regular repr…
math.RT2025
A finite Linear Dependence of Discrete Series Multiplicities
Kaustabh Mondal, Gunja Sachdeva
Let be a connected semisimple simply connected Lie group with a compact Cartan subgroup and let be a uniform lattice in . Let denote the set of equivale…
math.RT2024
On Infinitesimal -Isospectrality of Locally Symmetric Spaces
Chandrasheel Bhagwat, Kaustabh Mondal, Gunja Sachdeva
Let be a finite dimensional representation of a maximal compact subgroup of a connected non-compact semisimple Lie group , and let be a uniform torsion-fre…