Quadratic quaternion forms, involutions and triality.
Knus, Max-Albert, Villa, Oliver (2001)
Documenta Mathematica
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Knus, Max-Albert, Villa, Oliver (2001)
Documenta Mathematica
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Baeza, Ricardo (2001)
Documenta Mathematica
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Preeti, R., Tignol, J.-P. (2004)
Documenta Mathematica
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Elomary, Mohamed Abdou (2003)
International Journal of Mathematics and Mathematical Sciences
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Lewis, D.W. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Lewis, David W., Scheiderer, Claus, Unger, Thomas (2001)
Documenta Mathematica
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Becher, Karim Johannes, Hoffmann, Detlev W. (2007)
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Berhuy, Grégory, Leep, David B. (2001)
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Hoffmann, Detlef W., Tignol, Jean-Pierre (1998)
Documenta Mathematica
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Lars Lindberg (2004)
Colloquium Mathematicae
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The concept of doubling, which was introduced around 1840 by Graves and Hamilton, associates with any quadratic algebra 𝓐 over a field k of characteristic not 2 its double 𝓥(𝓐 ) = 𝓐 × 𝓐 with multiplication (w,x)(y,z) = (wy - z̅x,xy̅ + zw). This yields an endofunctor on the category of all quadratic k-algebras which is faithful but not full. We study in which respect the division property of a quadratic k-algebra is preserved under doubling and, provided this is the case,...
Hoffmann, Detlev W. (2001)
Documenta Mathematica
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Tekcan, Ahmet, Bizim, Osman (2004)
International Journal of Mathematics and Mathematical Sciences
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D.W. Lewis (1994)
Mathematische Zeitschrift
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Loos, Ottmar (1997)
Beiträge zur Algebra und Geometrie
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