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arXiv · 2411.06952

The Embedding Problem in Algebras with Involution

Jonatan Andres Gomez Parada
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Abstract

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.

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Jonatan Andres Gomez Parada. 2024-11-11. The Embedding Problem in Algebras with Involution. https://doi.org/10.1007/s00013-025-02110-4

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