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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.15104 |
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| _version_ | 1866913744993386496 |
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| author | Schmitz, Leonard Wack, Marcel |
| author_facet | Schmitz, Leonard Wack, Marcel |
| contents | Non-commutative Gröbner bases of two-sided ideals are not necessarily finite. Motivated by this, we provide a closed-form description of a finite and reduced Gröbner bases for the two-sided ideal used in the construction of Wangs quantum symmetric group. In particular, this proves that the word problem for quantum symmetric groups is decidable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15104 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite Gröbner bases for quantum symmetric groups Schmitz, Leonard Wack, Marcel Quantum Algebra Rings and Algebras 16T20, 13P10, 46L89, 08A50 Non-commutative Gröbner bases of two-sided ideals are not necessarily finite. Motivated by this, we provide a closed-form description of a finite and reduced Gröbner bases for the two-sided ideal used in the construction of Wangs quantum symmetric group. In particular, this proves that the word problem for quantum symmetric groups is decidable. |
| title | Finite Gröbner bases for quantum symmetric groups |
| topic | Quantum Algebra Rings and Algebras 16T20, 13P10, 46L89, 08A50 |
| url | https://arxiv.org/abs/2503.15104 |