A generic characterization of direct summands for orthogonal involutions
type: Dataset
description: The `transcendental methods' in the algebraic theory of quadratic forms are based on two major results, proved in the 60's by Cassels and Pfister, and known as the representation and the subform theorems. A generalization of the representation theorem was proven by Jean-Pierre Tignol in 1996, in the setting of central simple algebras with involution. This paper studies the subform question for orthogonal involutions. A generic characterization of direct summands is given; an analogue of the subform theorem is proven for division algebras and algebras of index at most $2$.
issued: 2026-05-08T00:25:00.325138
language: en
modified: 2026-05-08T00:25:00.325142
contact point: Organization
  fn: CCSD
keyword: 16w1016k20
keyword: algebras-with-involution
keyword: infoeu-reposemanticspreprint
keyword: mathmath-ramathematics-mathrings-and-algebras-mathra
keyword: preprints-working-papers-
keyword: quadratic-forms
keyword: subform-theorem
landing page: https://hal.science/hal-00091207

A generic characterization of direct summands for orthogonal involutions
type: Distribution
format: HTML
issued: 2026-05-08T00:25:00.336046
modified: 2026-05-08T00:25:00.316591
access URL: https://hal.science/hal-00091207

test_moissonnage_selune
type: Agent