What type of study is this?

This is a Experimental Study study.

October 3, 2025

Equivariant K-theory of the variety of partial flags

Key Points

The research establishes a surjective homomorphism from the algebra of quantum groups to Schur algebras.
By using Drinfeld style generators, new connections in equivariant k-theory are formed with partial flags in vector spaces.
This work involves a comprehensive use of convolution products within the framework of k-theory for derived categories.
The findings provide significant insight into the structure of affine Schur algebras related to quantum groups.

Abstract

We use Drinfeld style generators and relations to define an algebra U n Uₙ which is a “ q = 0 q=0 ” version of the affine quantum group of g l n glₙ. We then use the convolution product on the equivariant K K -theory of varieties of pairs of partial flags in a d d -dimensional vector space V V to define affine 0 0 -Schur algebras S 0 aff (n, d) S₀^ {aff} (n, d) and to prove that for every d d there exists a surjective homomorphism from U n Uₙ to S 0 aff (n, d) S₀^ {aff} (n, d).

Ask AI

Helpful

Bookmark