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| Title: | Graded cellular bases for Temperley-Lieb algebras of type A and B |
| Authors: | Plaza, D.
Ryom-Hansen, S. |
| Keywords: | Cellular basis
Decomposition numbers
Temperley-Lieb algebra
Khovanov-Lauda-Rouquier algebra |
| Issue Date: | Aug-2014 |
| Publisher: | SPRINGER |
| Citation: | JOURNAL OF ALGEBRAIC COMBINATORICS 40 (1) : 137-177 |
| Abstract: | We show that the Temperley-Lieb algebra of type A and the blob algebra (also known as the Temperley-Lieb algebra of type B) at roots of unity are -graded algebras. We moreover show that they are graded cellular algebras, thus making their cell modules, or standard modules, graded modules for the algebras. |
| Description: | Univ Talca, Inst Matemat & Fis, Talca, Chile. Plaza, D (Plaza, David); Ryom-Hansen, S (Ryom-Hansen, Steen) |
| URI: | http://dspace.utalca.cl/handle/1950/10166 |
| ISSN: | 1572-9192 |
| Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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