Signature maps from positive cones on algebras with involution

Fuente: arXiv
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Autores principales: Astier, Vincent, Unger, Thomas
Formato: Preprint
Publicado: 2025
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author Astier, Vincent
Unger, Thomas
author_facet Astier, Vincent
Unger, Thomas
contents We introduced positive cones in an earlier paper as a notion of ordering on central simple algebras with involution that corresponds to signatures of hermitian forms. In the current paper we describe signatures of hermitian forms directly out of positive cones, and also use this approach to rectify a problem that affected some results in the previously mentioned paper.
format Preprint
id arxiv_https___arxiv_org_abs_2505_22178
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Signature maps from positive cones on algebras with involution
Astier, Vincent
Unger, Thomas
Rings and Algebras
13J30, 16W10, 06F25, 16K20, 11E39
We introduced positive cones in an earlier paper as a notion of ordering on central simple algebras with involution that corresponds to signatures of hermitian forms. In the current paper we describe signatures of hermitian forms directly out of positive cones, and also use this approach to rectify a problem that affected some results in the previously mentioned paper.
title Signature maps from positive cones on algebras with involution
topic Rings and Algebras
13J30, 16W10, 06F25, 16K20, 11E39
url https://arxiv.org/abs/2505.22178