18 citations · 22 across the 6 of their papers we have counts for
6 papers
Planar algebras and Kuperberg's 3-manifold invariant
Vijay Kodiyalam, V. S. Sunder
We recapture Kuperberg's numerical invariant of 3-manifolds associated to a semisimple and cosemisimple Hopf algebra through a `planar algebra construction'. A result of possibly i…
The planar algebra of a semisimple and cosemisimple Hopf algebra
Vijay Kodiyalam, V. S. Sunder
To a semisimple and cosemisimple Hopf algebra over an algebraically closed field, we associate a planar algebra defined by generators and relations and show that it is a connected,…
Bound on the a-invariant and reduction numbers of ideals
Clare D'Cruz, Vijay Kodiyalam, Jugal. K. Verma
Let be a -dimensional standard graded ring over an Artin local ring. Let be the unique maximal homogeneous ideal of Let denote the length of …
A natural representation model for symmetric groups
Vijay Kodiyalam, D. -N. Verma
For any positive integer , we describe a natural complex representation of the symmetric group on the vector space spanned by its involutions that contains each irreducibl…
Picture invariants and the isomorphism problem for complex semisimple Lie algebras
Vijay Kodiyalam, K. N. Raghavan
Consider complex semisimple Lie algebras of a given dimension specified by their structure constants. We describe a finite collection of rational functions in the structure constan…
Hilbert functions of points on Schubert varieties in the Grassmannian
Vijay Kodiyalam, K. N. Raghavan
We prove a recent conjecture of Kreiman and Lakshmibai about Hilbert functions of points on Schubert varieties in Grassmannians.