R-triviality for adjoint classical groups of type C

Fuente: arXiv
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Autore principale: Archita, M.
Natura: Preprint
Pubblicazione: 2026
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_version_ 1866914353741037568
author Archita, M.
author_facet Archita, M.
contents For a central simple algebra with a symplectic involution (A,s) over a field of characteristic different from 2, we show that its group of projective similitudes PSim(A,s) is R-trivial in two new cases.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23072
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle R-triviality for adjoint classical groups of type C
Archita, M.
Rings and Algebras
Number Theory
11E04, 11E57, 11E81, 14E08, 20G15
For a central simple algebra with a symplectic involution (A,s) over a field of characteristic different from 2, we show that its group of projective similitudes PSim(A,s) is R-trivial in two new cases.
title R-triviality for adjoint classical groups of type C
topic Rings and Algebras
Number Theory
11E04, 11E57, 11E81, 14E08, 20G15
url https://arxiv.org/abs/2602.23072