Limits of traces of Temperley-Lieb algebras
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916193680490496 |
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| author | Moore, Stephen T. |
| author_facet | Moore, Stephen T. |
| contents | We review the classification of positive extremal traces on the generic infinite Temperley-Lieb algebra, and then extend the classification to the non-semisimple root of unity case. As a result, we obtain Hilbert space structures on the full infinite Temperley-Lieb algebra at roots of unity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11592 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Limits of traces of Temperley-Lieb algebras Moore, Stephen T. Quantum Algebra Representation Theory We review the classification of positive extremal traces on the generic infinite Temperley-Lieb algebra, and then extend the classification to the non-semisimple root of unity case. As a result, we obtain Hilbert space structures on the full infinite Temperley-Lieb algebra at roots of unity. |
| title | Limits of traces of Temperley-Lieb algebras |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2212.11592 |