Pfister Involutions

Proceedings Mathematical Sciences

E Bayer-Fluckiger¹  A Quéguiner-Mathieu²  R Parimala³ 

[1] Département de Mathématiques, Ecole Polytechnique, Fédérale de Lausanne, 0 Lausanne, Switzerland$$;UMR du CNRS, Département de Mathématiques, Université Paris , F-0 Villetaneuse, France$$;Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 00 00, India$$

关键词: Algebras with involution;    Pfister forms;    cohomological invariants.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown