11 citations · 34 across the 30 of their papers we have counts for
32 papers
Relative Weyl Character formula, Relative Pieri formulas and Branching rules for Classical groups
C. S. Rajan, Sagar Shrivastava
We give alternate proofs of the classical branching rules for highest weight representations of a complex reductive group restricted to a closed regular reductive subgroup ,…
On equidistribution of Gauss sums of cuspidal representations of
Sameer Kulkarni, C. S. Rajan
We investigate the distribution of the angles of Gauss sums attached to the cuspidal representations of general linear groups over finite fields. In particular we show that they ha…
A finiteness theorem for abelian varieties with totally bad reduction
Plawan Das, C. S. Rajan
We show that up to potential isogeny, there are only finitely many abelian varieties of dimension defined over a number field , such that for any finite place outside a…
On a convexity property of tensor products of irreducible, rational representations of
Hariharan Narayanan, C. S. Rajan
The aim of this note is to point out a convexity property with respect to the root lattice for the support of the highest weights that occur in a tensor product of irreducible rati…
Finiteness theorems for potentially equivalent Galois representations: extension of Faltings' finiteness criteria
Plawan Das, C. S. Rajan
We study the relationship between potential equivalence and character theory; we observe that potential equivalence of a representation is determined by an equality of an -p…
A uniform bound for inertially equivalent, pure -adic representations: an extension of Faltings' theorem
Plawan Das, C. S. Rajan
We introduce a notion of inertial equivalence for integral -adic representation of the Galois group of a global field. We show that the collection of continuous, semisimple,…