Affine cellularity of affine Brauer algebras
Weideng Cui
TL;DR
This paper proves that affine Brauer algebras possess the structure of affine cellular algebras, providing a new algebraic framework for understanding their properties.
Contribution
It establishes that affine Brauer algebras are affine cellular, extending the class of algebras known to have this structure.
Findings
Affine Brauer algebras are affine cellular.
Provides a new structural perspective on affine Brauer algebras.
Enhances understanding of their representation theory.
Abstract
We show that the affine Brauer algebras are affine cellular algebras in the sense of Koenig and 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 Operator Algebra Research · Advanced Topics in Algebra