Representations of the Yokonuma-Temperley-Lieb algebra
Maria Chlouveraki
TL;DR
This paper characterizes the representations of the Yokonuma-Temperley-Lieb algebra, a quotient of the Yokonuma-Hecke algebra, extending classical algebraic structures to a more general setting.
Contribution
It generalizes the construction of the classical Temperley-Lieb algebra to the Yokonuma-Hecke algebra, providing a detailed description of its representations.
Findings
Complete classification of Yokonuma-Temperley-Lieb algebra representations
Extension of classical Temperley-Lieb algebra concepts
New algebraic structures for advanced mathematical research
Abstract
We determine the representations of the Yokonuma-Temperley-Lieb algebra, which is defined as a quotient of the Yokonuma-Hecke algebra by generalising the construction of the classical Temperley-Lieb 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
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics