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Graded cellular bases for Temperley-Lieb algebras of type A and B
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.
Más información
| Título según WOS: | Graded cellular bases for Temperley-Lieb algebras of type A and B |
| Título según SCOPUS: | Graded cellular bases for Temperley-Lieb algebras of type A and B |
| Título de la Revista: | JOURNAL OF ALGEBRAIC COMBINATORICS |
| Volumen: | 40 |
| Número: | 1 |
| Editorial: | Springer |
| Fecha de publicación: | 2014 |
| Página de inicio: | 137 |
| Página final: | 177 |
| Idioma: | English |
| DOI: |
10.1007/s10801-013-0481-6 |
| Notas: | ISI, SCOPUS - ISI |