Bayer-Fluckiger, E. ; Parimala, R. ; Quéguiner-Mathieu, A. (2003) Pfister involutions Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 113 (4). pp. 365-377. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/mathsci/vol113/nov2003/absnov...
Related URL: http://dx.doi.org/10.1007/BF02829631
Abstract
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.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Algebras with Involution; Pfister Forms; Cohomological Invariants |
| ID Code: | 34507 |
| Deposited On: | 22 Apr 2011 14:34 |
| Last Modified: | 17 May 2016 17:24 |
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