Weak Partial Representations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909432275795968 |
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| author | Castro, Felipe Quadros, Glauber Tamusiunas, Thaísa |
| author_facet | Castro, Felipe Quadros, Glauber Tamusiunas, Thaísa |
| contents | We introduce the notion of partial representation of a weak Hopf algebra. We present the universal algebra $H_{par}^w$, which factorizes these partial representations by algebra morphisms. Also, it is shown that $\Hp$ is isomorphic to a partial smash product, that it has the structure of a Hopf algebroid and also that it can be endowed with a quantum inverse semigroup structure. Moreover, it is shown that the algebra objects in the module category over $H_{par}^w$ correspond to symmetrical partial module algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13344 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak Partial Representations Castro, Felipe Quadros, Glauber Tamusiunas, Thaísa Quantum Algebra Rings and Algebras Primary 16T99. Secondary 16T05, 16S40 We introduce the notion of partial representation of a weak Hopf algebra. We present the universal algebra $H_{par}^w$, which factorizes these partial representations by algebra morphisms. Also, it is shown that $\Hp$ is isomorphic to a partial smash product, that it has the structure of a Hopf algebroid and also that it can be endowed with a quantum inverse semigroup structure. Moreover, it is shown that the algebra objects in the module category over $H_{par}^w$ correspond to symmetrical partial module algebras. |
| title | Weak Partial Representations |
| topic | Quantum Algebra Rings and Algebras Primary 16T99. Secondary 16T05, 16S40 |
| url | https://arxiv.org/abs/2412.13344 |