The Embedding Problem in Algebras with Involution
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912274037342208 |
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| author | Parada, Jonatan Andres Gomez |
| author_facet | Parada, Jonatan Andres Gomez |
| contents | Let $K$ be an algebraically closed field of characteristic zero, and let $A$ and $B$ be two simple algebras with involution over $K$. In this note we study the embedding problem for algebras with involution. More specifically, if the algebra $A$ satisfies the polynomial identities with involution of the algebra $B$, we investigate whether there exists an embedding of $A$ into $B$ that preserves the involutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06952 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Embedding Problem in Algebras with Involution Parada, Jonatan Andres Gomez Rings and Algebras 16R10, 16W10, 16R50 Let $K$ be an algebraically closed field of characteristic zero, and let $A$ and $B$ be two simple algebras with involution over $K$. In this note we study the embedding problem for algebras with involution. More specifically, if the algebra $A$ satisfies the polynomial identities with involution of the algebra $B$, we investigate whether there exists an embedding of $A$ into $B$ that preserves the involutions. |
| title | The Embedding Problem in Algebras with Involution |
| topic | Rings and Algebras 16R10, 16W10, 16R50 |
| url | https://arxiv.org/abs/2411.06952 |