TL;DR
This paper introduces a new algebra related to the Coxeter group of type F4, constructed as a subalgebra of the Brauer algebra of type E6, and explores its properties.
Contribution
It defines the Brauer algebra of type F4 and analyzes its structural properties, expanding the understanding of algebraic structures associated with Coxeter groups.
Findings
Defined the Brauer algebra of type F4
Established its relation as a subalgebra of the Brauer algebra of type E6
Described key properties of this algebra
Abstract
We present an algebra related to the Coxeter group of type F4 which can be viewed as the Brauer algebra of type F4 and is obtained as a subalgebra of the Brauer algebra of type E6. We also describe some properties of this 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.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics