Affine cellularity of affine Hecke algebras of rank two
Jeremie Guilhot, Vanessa Miemietz
TL;DR
This paper proves that affine Hecke algebras of rank two with generic parameters possess the affine cellular structure, advancing understanding of their algebraic properties.
Contribution
It establishes the affine cellularity of rank two affine Hecke algebras with generic parameters, a new structural insight.
Findings
Affine Hecke algebras of rank two are affine cellular
The result applies to generic parameter choices
Enhances understanding of algebraic structure of these algebras
Abstract
We show that affine Hecke algebras of rank two with generic parameters are affine cellular in the sense of Koenig-Xi.
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 Algebra and Geometry · Advanced Combinatorial Mathematics