The growth of Temperley-Lieb type algebras
Maxim Zavodovsky
TL;DR
This paper investigates the growth properties of generalized Temperley-Lieb algebras, focusing on their dimensions and conditions under which they exhibit infinite growth, contributing to understanding their algebraic complexity.
Contribution
It provides new insights into the growth behavior of generalized Temperley-Lieb algebras, including criteria for infinite growth.
Findings
Identified conditions for infinite growth in generalized Temperley-Lieb algebras.
Analyzed the dimensions of these algebras under various parameters.
Contributed to the classification of growth types in algebraic structures.
Abstract
This article examines the growth of generalized algebras of type Temperley-Lieb Studied them dimension or if the algebra of infinite growth.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Advanced Algebra and Logic