Canonical bases and affine Hecke algebras of type B
Michela Varagnolo (AGM), Eric Vasserot (IMJ)
TL;DR
This paper proves conjectures related to canonical bases and branching rules in affine Hecke algebras of type B, using a new graded Ext-algebra associated with quivers with involutions.
Contribution
It introduces a new graded Ext-algebra framework and confirms conjectures on canonical bases and branching rules for affine Hecke algebras of type B.
Findings
Proof of conjectures by Enomoto and Kashiwara
Explicit computation of a new graded Ext-algebra
Advancement in understanding affine Hecke algebras of type B
Abstract
We prove a series of conjectures of Enomoto and Kashiwara on canonical bases and branching rules of affine Hecke algebras of type B. The main ingredient of the proof is a new graded Ext-algebra associated with quiver with involutions that we compute explicitly.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Random Matrices and Applications