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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Loos, Ottmar (1997)
Beiträge zur Algebra und Geometrie
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Svetozar Kurepa (1987)
Publications de l'Institut Mathématique
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Heima Hayashi (2011)
Acta Arithmetica
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Strebel, Kurt (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Arnold K. Pizer (1976)
Journal für die reine und angewandte Mathematik
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Laghribi, Ahmed (1999)
Documenta Mathematica
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Vladimir Janković (2005)
The Teaching of Mathematics
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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,...
Lerna Pehlivan, Kenneth S. Williams (2015)
Acta Arithmetica
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Alexander E. Patkowski (2011)
Colloquium Mathematicae
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We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.
A.I. Barvinok (1993)
Discrete & computational geometry
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Ayşe Alaca, Şaban Alaca, Mathieu F. Lemire, Kenneth S. Williams (2007)
Acta Arithmetica
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Yoonjin Lee (2006)
Acta Arithmetica
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