Vidya Venkateswaran

collaborators

4 papers

math.RT2014

Signature characters of highest-weight representations of $U_{q} (gl_{n})$

Vidya Venkateswaran

We consider $U_{q} (gl_{n})$ , the quantum group of type $A$ for $∣ q ∣ = 1$ , $q$ generic. We provide formulas for signature characters of irreducible finite-dimensional hig…

math.RT2014

On the expansion of certain vector-valued characters of $U_{q} (gl_{n})$ with respect to the Gelfand-Tsetlin basis

Vidya Venkateswaran

Macdonald polynomials are an important class of symmetric functions, with connections to many different fields. Etingof and Kirillov showed an intimate connection between these fun…

math.RT2014

Signatures of representations of Hecke algebras and rational Cherednik algebras

Vidya Venkateswaran

Determining whether an irreducible representation of a group (or $*$ -algebra) admits a non-degenerate invariant, positive-definite Hermitian form is an important problem in represe…

math.RT2014

A p-adic interpretation of some integral identities for Hall-Littlewood polynomials

Vidya Venkateswaran

If one restricts an irreducible representation $V_{λ}$ of $G l_{2 n}$ to the orthogonal group (respectively the symplectic group), the trivial representation appears with multiplicity…

Signature characters of highest-weight representations of Uq​(gln​)

On the expansion of certain vector-valued characters of Uq​(gln​) with respect to the Gelfand-Tsetlin basis

Signatures of representations of Hecke algebras and rational Cherednik algebras

A p-adic interpretation of some integral identities for Hall-Littlewood polynomials

Signature characters of highest-weight representations of $U_{q} (gl_{n})$

On the expansion of certain vector-valued characters of $U_{q} (gl_{n})$ with respect to the Gelfand-Tsetlin basis