On totally decomposable algebras with involution in characteristic two.

DOI10.1016/j.jalgebra.2015.11.036zbMath1342.16014arXiv1503.04418OpenAlexW2963357791MaRDI QIDQ908349

Amir Hossein Nokhodkar, Mohammad Gholamzadeh Mahmoudi

Publication date: 4 February 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04418

zbMATH Keywords

algebras with involutionquadratic formsbilinear formscentral simple algebrasquaternion algebrasFrobenius algebrastensor products of algebrasPfister forms

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20) Quadratic spaces; Clifford algebras (11E88)

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Quadratic descent of totally decomposable orthogonal involutions in characteristic two ⋮ Orthogonal involutions and totally singular quadratic forms in characteristic two ⋮ SYMMETRIC SQUARE-CENTRAL ELEMENTS IN PRODUCTS OF ORTHOGONAL INVOLUTIONS IN CHARACTERISTIC TWO ⋮ Separable extensions of orthogonal involutions in characteristic two ⋮ Applications of the wall form to unipotent isometries of index two ⋮ Separable descent of totally decomposable orthogonal involutions in characteristic two ⋮ On biquaternion algebras with orthogonal involution ⋮ The metabolicity index of involutions in characteristic two ⋮ The chain equivalence of totally decomposable orthogonal involutions in characteristic two ⋮ On the possible decompositions of totally decomposable orthogonal involutions in characteristic two

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