Representations of Temperley--Lieb Algebras
| dc.creator | Enyang, John | |
| dc.date | 2007-10-17 | |
| dc.date.accessioned | 2026-07-07T08:36:49Z | |
| dc.date.available | 2026-07-07T08:36:49Z | |
| dc.description | We define a commuting family of operators $T_0,T_1,...,T_n$ in the Temperley--Lieb algebra $\mathcal{A}_n(x)$ of type $A_{n-1}$. Using an appropriate analogue to Murphy basis of the Iwahori--Hecke algebra of the symmetric group, we describe the eigenvalues arising from the triangular action of the said operators on the cell modules of $\mathcal{A}_n(x)$. These results are used to provide the Temperley--Lieb algebras of type $A_{n-1}$ with a semi--normal form, together with a branching law, and explicit formulae for associated Gram determinants. | |
| dc.description | 23 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0710.3218 | |
| dc.identifier | http://arxiv.org/abs/0710.3218 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140195 | |
| dc.subject | Representation Theory | |
| dc.title | Representations of Temperley--Lieb Algebras | |
| dc.type | text |