Fusion procedure for the Brauer algebra
A. P. Isaev, A. I. Molev
TL;DR
This paper introduces a fusion procedure for the Brauer algebra B_n(w), enabling the explicit construction of primitive idempotents through evaluation of a specialized rational function.
Contribution
It develops an analogue of the fusion procedure for the Brauer algebra, allowing systematic computation of primitive idempotents via rational function evaluation.
Findings
Primitive idempotents can be obtained by evaluating a rational function.
The rational function is a product of R-matrix type factors.
The method generalizes the fusion procedure to the Brauer algebra.
Abstract
We show that all primitive idempotents for the Brauer algebra B_n(w) can be found by evaluating a rational function in several variables which has the form of a product of R-matrix type factors. This provides an analogue of the fusion procedure for B_n(w).
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 · Nonlinear Waves and Solitons · Advanced Topics in Algebra