| Автор | Uwe Grimm |
| Автор | Paul P Martin |
| Дата выпуска | 2003-10-24 |
| dc.description | We define new diagram algebras providing a sequence of multiparameter generalizations of the Temperley–Lieb algebra, suitable for the modelling of dilute lattice systems of two-dimensional statistical mechanics. These algebras give a rigorous foundation to the various ‘multi-colour algebras’ of Grimm, Pearce and others. We determine the generic representation theory of the simplest of these algebras, and locate the nongeneric cases (at roots of unity of the corresponding parameters). We show by this example how the method used (Martin's general procedure for diagram algebras) may be applied to a wide variety of such algebras occurring in statistical mechanics. We demonstrate how these algebras may be used to solve the Yang–Baxter equations. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2003 IOP Publishing Ltd |
| Название | The bubble algebra: structure of a two-colour Temperley–Lieb Algebra |
| Тип | paper |
| DOI | 10.1088/0305-4470/36/42/010 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 36 |
| Первая страница | 10551 |
| Последняя страница | 10571 |
| Выпуск | 42 |
