4 citations · 9 across the 9 of their papers we have counts for
11 papers
Recovering modular forms and representations from tensor and symmetric powers
C. S. Rajan
We consider the problem of determining the relationship between two representations knowing that some tensor or symmetric power of the original represetations coincide. Combined wi…
On isospectral arithmetical spaces
C. S. Rajan
We study the relationship between the arithmetic and the spectrum of the Laplacian for manifolds arising from congruent arithmetic subgroups of SL(1,D), where D is an indefinite qu…
Distinguished representations, base change, and reducibility for unitary groups
U. K. Anandavardhanan, C. S. Rajan
We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E). As a co…
Unique decomposition of tensor products of irreducible representations of simple algebraic groups
C. S. Rajan
We show that a tensor product of irreducible, finite dimensional representations of a simple Lie algebra over a field of characteristic zero, determines the individual constituents…
On the non-vanishing of the first Betti number of hyperbolic three manifolds
C. S. Rajan
We show the non-vanishing of cohomology groups of sufficiently small congruence lattices in , where is a quaternion division algebras defined over a number field c…
On strong multiplicity one for automorphic representations
C. S. Rajan
We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let be a unitary, cuspidal, automorphic representation of $GL_n(\A_K)$. Let be a se…