Pfister involutions

Details Pfister involutions Pfister involutions

2004-06-04

arxiv.org/abs/math/0406075v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 4, November 2003, pp. 365-377

Mathematics

Rings and Algebras

13 pages, no figures, no tables

Scientific paper

The question of the existence of an analogue, in the framework of central simple algebras with involution, of the notion of Pfister form is raised. In particular, algebras with orthogonal involution which split as a tensor product of quaternion algebras with involution are studied. It is proven that, up to degree 16, over any extension over which the algebra splits, the involution is adjoint to a Pfister form. Moreover, cohomological invariants of those algebras with involution are discussed.

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