Unitary compact quantum group for complex parameter
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918530354511872 |
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| author | Giri, Manabendra Jana, Debabrata |
| author_facet | Giri, Manabendra Jana, Debabrata |
| contents | We consider a particular Hayashi $R$-matrix and using the FRT-bialgebra technique and Woronowicz's method of construction, we construct a concrete compact quantum group $U_{q,Θ}(3)$ for non zero real $q$ and modulus one complex deformation parameters $θ_{ij}$. We then study in detail the irreducible $*$-representations of the $C^*$-algebra $C(U_{q,Θ}(3))$, using the representations associated with the three dimensional noncommutative torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30473 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unitary compact quantum group for complex parameter Giri, Manabendra Jana, Debabrata Operator Algebras Quantum Algebra We consider a particular Hayashi $R$-matrix and using the FRT-bialgebra technique and Woronowicz's method of construction, we construct a concrete compact quantum group $U_{q,Θ}(3)$ for non zero real $q$ and modulus one complex deformation parameters $θ_{ij}$. We then study in detail the irreducible $*$-representations of the $C^*$-algebra $C(U_{q,Θ}(3))$, using the representations associated with the three dimensional noncommutative torus. |
| title | Unitary compact quantum group for complex parameter |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2605.30473 |