On central idempotents in the Brauer algebra
Oliver King, Paul Martin, Alison Parker
TL;DR
This paper introduces a method for constructing and analyzing central idempotents in the Brauer algebra, linking algebraic properties to its representation theory.
Contribution
It provides a new method for constructing central idempotents and identifies some primitive central idempotents in the Brauer algebra.
Findings
Constructed central idempotents related to exact sequence splitting
Determined some primitive central idempotents
Connected idempotent properties to representation theory
Abstract
We provide a method for constructing central idempotents in the Brauer algebra relating to the splitting of certain short exact sequences. We also determine some of the primitive central idempotents, and relate properties of the idempotents to known facts about the representation theory of the algebra.
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.