Higher-dimensional Temperley-Lieb algebras
Marcos Alvarez, Paul P. Martin
TL;DR
This paper introduces a higher-dimensional generalization of the Temperley-Lieb category, expanding its mathematical framework to encompass more complex structures.
Contribution
It presents a novel higher-dimensional category that extends the properties of the classical Temperley-Lieb category.
Findings
Defines a new higher-dimensional Temperley-Lieb category
Establishes foundational properties of the new category
Provides potential applications in topology and quantum algebra
Abstract
A category which generalises to higher dimensions many of the features of the Temperley-Lieb category is introduced.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology