A classical theorem of Dieudonne [8], Theoreme 2 asserts that the multipliers of similitudes
of a quadratic space of even dimension are norms from the discriminant extension. The …

The group of R-equivalence classes for all adjoint semisimple classical algebraic groups is
computed. Examples of stably non-rational adjoint simple groups of type D^, n^ 3, are …

Let A be a central simple algebra of degree n (ie dimension n) OVer a field F of characteristic
different from 2. An involution a (of the first kind) on A is an anti-automorphism of period 2 …

In this paper, we consider a central simple algebra A endowed with an Ž. involution. With A,
we associate the quadratic form T defined by Ž. Ž Ž.. T xs Trd xx, which has values in the …

Let k be a field of characteristic not equal to 2 and D a finite dimensional central simple
algebra over k whose class is 2-torsion in the Brauer group Br (k) of k. By classical results of …

These notes are based on a series of lectures given at the National Taiwan University in
April 1993. Their aim is to provide an introduction to the theory of central simple algebras …

If (A, σ) is a central simple algebra of even degree with orthogonal involution, then for the
map of Galois cohomology sets from H 1 (F, SO (A, σ)) to the 2-torsion in the Brauer group of …

A criterion of decomposability for degree 4 algebras with unitary involution Page 1 Journal of
Pure and Applied Algebra 147 (2000) 303–309 www.elsevier.com/locate/jpaa A criterion of …

The discriminant of an involution of the first kind on a finite-dimensional division algebra
over a field with a Henselian valuation of residue characteristic different from 2 is computed …

Principe de Hasse pour les espaces principaux homogènes sous les groupes
classiques sur un corps de dimension cohomol Page 1 manuscripta math. 89, 335 - 354 (1996) …