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On totally decomposable algebras with involution in characteristic two

Gholamzadeh Mahmoudi, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jalgebra.2015.11.036
  3. Abstract:
  4. A necessary and sufficient condition for a central simple algebra with involution over a field of characteristic two to be decomposable as a tensor product of quaternion algebras with involution, in terms of its Frobenius subalgebras, is given. It is also proved that a bilinear Pfister form, recently introduced by A. Dolphin, can classify totally decomposable central simple algebras of orthogonal type
  5. Keywords:
  6. Bilinear and quadratic form ; Central simple algebra ; Frobenius algebra ; Involution ; Pfister form ; Quaternion algebra
  7. Source: Journal of Algebra ; Volume 451 , 2016 , Pages 208-231 ; 00218693 (ISSN)
  8. URL: http://www.sciencedirect.com/science/article/pii/S0021869315006195