Totally decomposable quadratic pairs

Published 4 Dec 2015 in math.RA | (1512.01349v2)

Abstract: In this paper we show that a split central simple algebra with quadratic pair which decomposes into a tensor product of quaternion algebras with involution and a quaternion algebra with quadratic pair is adjoint to a quadratic Pfister form. This result is new in characteristic two, otherwise it is equivalent to the Pfister Factor Conjecture proven in [3].

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