pith. sign in

arxiv: 0803.3848 · v2 · pith:RYCEX6Z6new · submitted 2008-03-27 · 🧮 math.QA

Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties

Aaron D. Lauda This is my paper
classification 🧮 math.QA
keywords quantumcategorifiescategorycohomologyequivariantflagiteratedrepresentation
0
0 comments X
read the original abstract

A 2-category was introduced in arXiv:0803.3652 [math.QA] that categorifies Lusztig's integral version of quantum sl(2). Here we construct for each positive integer N arepresentation of this 2-category using the equivariant cohomology of iterated flag varieties. This representation categorifies the irreducible (N+1)-dimensional representation of quantum sl(2).

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Action of the Witt algebra on categorified quantum groups

    math.QA 2025-07 unverdicted novelty 6.0

    Constructs an action of the positive Witt algebra on categorified quantum groups for simply-laced Lie algebras, recovering the foam action in type A and inducing the current-algebra action via trace decategorification.