Pfister involutions
Copyright policy )Pfister involutions
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.
13 pages, no figures, no tables
Pfister forms, Mathematics - Rings and Algebras, algebras with involution, Finite-dimensional division rings, Pfister algebras with involution, quadratic forms, central simple algebras, Rings and Algebras (math.RA), Rings with involution; Lie, Jordan and other nonassociative structures, FOS: Mathematics, Arason invariants, Quadratic and bilinear forms, inner products, Quadratic forms over general fields
Pfister forms, Mathematics - Rings and Algebras, algebras with involution, Finite-dimensional division rings, Pfister algebras with involution, quadratic forms, central simple algebras, Rings and Algebras (math.RA), Rings with involution; Lie, Jordan and other nonassociative structures, FOS: Mathematics, Arason invariants, Quadratic and bilinear forms, inner products, Quadratic forms over general fields
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).18 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!