Representation theory of the reflection equation algebra III: Classification of irreducible representations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916802826600448 |
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| author | Moore, Stephen T. |
| author_facet | Moore, Stephen T. |
| contents | We continue our study of Hilbert space representations of the Reflection Equation Algebra, again focusing on the algebra constructed from the $R$-matrix associated to the $q$-deformation of $GL(N,\mathbb{C})$ for $0<q<1$. We develop a form of highest weight theory and use it to classify the irreducible bounded $*$-representations of the reflection equation algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16866 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Representation theory of the reflection equation algebra III: Classification of irreducible representations Moore, Stephen T. Quantum Algebra Representation Theory We continue our study of Hilbert space representations of the Reflection Equation Algebra, again focusing on the algebra constructed from the $R$-matrix associated to the $q$-deformation of $GL(N,\mathbb{C})$ for $0<q<1$. We develop a form of highest weight theory and use it to classify the irreducible bounded $*$-representations of the reflection equation algebra. |
| title | Representation theory of the reflection equation algebra III: Classification of irreducible representations |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2506.16866 |