E(n)-coactions on semisimple Clifford algebras
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912267796217856 |
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| author | Renda, Fabio |
| author_facet | Renda, Fabio |
| contents | In this article we prove that $E(n)$-coactions over a finite-dimensional algebra $A$ are classified by tuples $(φ, d_1, ... , d_n)$ consisting of an involution $φ$ and a family $(d_i)_{i=1,...,n}$ of $φ$-derivations satisfying appropriate conditions. Tuples of maps can be replaced by tuples of suitable elements $(c, u_1, . . . , u_n)$, whenever $A$ is a semisimple Clifford algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | E(n)-coactions on semisimple Clifford algebras Renda, Fabio Quantum Algebra Rings and Algebras Representation Theory Primary 15A66, Secondary 16T05 In this article we prove that $E(n)$-coactions over a finite-dimensional algebra $A$ are classified by tuples $(φ, d_1, ... , d_n)$ consisting of an involution $φ$ and a family $(d_i)_{i=1,...,n}$ of $φ$-derivations satisfying appropriate conditions. Tuples of maps can be replaced by tuples of suitable elements $(c, u_1, . . . , u_n)$, whenever $A$ is a semisimple Clifford algebra. |
| title | E(n)-coactions on semisimple Clifford algebras |
| topic | Quantum Algebra Rings and Algebras Representation Theory Primary 15A66, Secondary 16T05 |
| url | https://arxiv.org/abs/2503.07301 |