Results 161 to 170 of about 245,475 (190)

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.
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Zero divisors in quaternion algebras

Journal of Algorithms, 1988
The starting point for the author is the following pair of problems: Given an associative algebra A, can we decide whether or not there are zero divisors and if so, can we outline an algorithm to construct a pair of zero divisors; in particular, in what time can it be done?
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Submodules of Quaternion Algebras

Proceedings of the London Mathematical Society, 1969
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The η-Anti-Hermitian Solution to a System of Constrained Matrix Equations Over the Generalized Segre Quaternion Algebra

Symmetry, 2023
Qing-Wen Wang
exaly  

Some Properties of the Norm in a Division Quaternion Algebra

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

Linkage of Sets of Quaternion Algebras in Characteristic 2

Communications in Algebra, 2021
Adam Chapman
exaly  

Quaternion Algebras

1970
H. Jacquet, R. P. Langlands
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An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras

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

About Special Elements in Quaternion Algebras Over Finite Fields

Advances in Applied Clifford Algebras, 2017
Diana Savin
exaly  

Quadratic Forms and Space-Time Block Codes From Generalized Quaternion and Biquaternion Algebras

IEEE Transactions on Information Theory, 2011
Thomas Unger, Nadya Markin
exaly