Results 131 to 140 of about 542 (165)
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2014
This chapter concerns (scalar) quaternions and the basic properties of quaternion algebra, with emphasis on solution of equations such as axb = c and ax − xb =
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This chapter concerns (scalar) quaternions and the basic properties of quaternion algebra, with emphasis on solution of equations such as axb = c and ax − xb =
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The Lengths of the Quaternion and Octonion Algebras
Journal of Mathematical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guterman, Alexander E. +1 more
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Algebras, Quaternions and Quaternionic Symplectic Groups
2002In 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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On Zeta Functions of Quaternion Algebras
The Annals of Mathematics, 1965The present paper is concerned with some equalities between zeta functions of quaternion algebras introduced in Godement [6], Shimura [11], Tamagawa [13]. Let A be a quaternion algebra over a totally real algebraic number field 1? of degree m, and let D be an order in A; let S be the idele group of A, and U the group of units in S with respect to D ...
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The continuous quaternion algebra-valued wavelet transform and the associated uncertainty principle
Journal of Pseudo-Differential Operators and Applications, 2021Youssef El Haoui
exaly
Submodules of Quaternion Algebras
Proceedings of the London Mathematical Society, 1969openaire +2 more sources
REMARKS ON COHOMOLOGY RINGS OF THE QUATERNION GROUP AND THE QUATERNION ALGEBRA
SUT Journal of Mathematics, 1995Katsunori Sanada
exaly