Dilute Algebras and Solvable Lattice Models
Uwe Grimm
TL;DR
This paper reviews dilute algebra structures and discusses their application in constructing solvable lattice models, expanding the algebraic framework for integrable systems.
Contribution
It introduces the dilute braid-monoid algebra and demonstrates how to build solvable lattice models using dilute Temperley-Lieb and Birman-Wenzl-Murakami algebras.
Findings
Construction of solvable vertex models
Development of dilute algebra representations
Extension of algebraic methods in integrable systems
Abstract
The definition of a dilute braid-monoid algebra is briefly reviewed. The construction of solvable vertex and interaction-round-a-face models built on representations of the dilute Temperley-Lieb and Birman-Wenzl-Murakami algebras is discussed.
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 Topics in Algebra · Advanced Algebra and Geometry