The Dieck-Temperley-Lieb algebras in Brauer algebras
Shoumin Liu
TL;DR
This paper investigates the structure of Dieck-Temperley-Lieb algebras of types Bn and Cn, focusing on their ranks and bases, by leveraging properties of Brauer and Temperley-Lieb algebras.
Contribution
It provides explicit rank calculations and basis descriptions for these algebras, extending understanding of their algebraic structure.
Findings
Ranks of Dieck-Temperley-Lieb algebras computed
Explicit bases constructed for types Bn and Cn
Connections established with Brauer and Temperley-Lieb algebras
Abstract
In this paper, we will study the Dieck-Temlerley-Lieb algebras of type Bn and Cn. We compute their ranks and describe a basis for them by using some results from corresponding Brauer algebras and Temperley-Lieb algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics