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Algebras, Quaternions and Quaternionic Symplectic Groups

2002
In this chapter we begin by studying algebras over a field, with their groups of units providing many interesting groups. In particular, we study division algebras and their linear algebra. Then we introduce the quaternions which form the only non-commutative example of a real division algebra.
openaire   +1 more source

Submodules of Quaternion Algebras

Proceedings of the London Mathematical Society, 1969
openaire   +2 more sources

Characteristic of Quaternion Algebra Over Fields

Cauchy, 2023
Ema Carnia, Muhammad Faldiyan
exaly  

Some Properties of the Norm in a Division Quaternion Algebra

Mathematical Methods in the Applied Sciences, 2022
Diana Savin, Cristina Elena Flaut
exaly  

Quaternion Algebras

1970
H. Jacquet, R. P. Langlands
openaire   +1 more source

Linkage of Sets of Quaternion Algebras in Characteristic 2

Communications in Algebra, 2021
Adam Chapman
exaly  

Quaternion algebras

2013
Grégory Berhuy, Frédérique Oggier
openaire   +1 more source

An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras

Advances in Applied Clifford Algebras, 2015
Cristina Elena Flaut   +1 more
exaly  

About Special Elements in Quaternion Algebras Over Finite Fields

Advances in Applied Clifford Algebras, 2017
Diana Savin
exaly  

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