Results 201 to 210 of about 666,240 (259)
Some of the next articles are maybe not open access.
A 3D Generic Inverse Dynamic Method using Wrench Notation and Quaternion Algebra
Computer Methods in Biomechanics and Biomedical Engineering, 2004Raphaël Dumas +2 more
semanticscholar +3 more sources
Linear and multilinear algebra, 2020
In this paper, we investigate the least-squares solution with the least norm to the following system of tensor equations over quaternions where are unknown quaternion tensors and the others are given quaternion tensors. Using the expressions of the Moore-
Qing-Wen Wang, Ru-Yuan Lv, Yang Zhang
semanticscholar +1 more source
In this paper, we investigate the least-squares solution with the least norm to the following system of tensor equations over quaternions where are unknown quaternion tensors and the others are given quaternion tensors. Using the expressions of the Moore-
Qing-Wen Wang, Ru-Yuan Lv, Yang Zhang
semanticscholar +1 more source
On some mod p representations of quaternion algebra over ℚp
Compositio MathematicaLet $F$ be a totally real field in which $p$ is unramified and let $B$ be a quaternion algebra over $F$ which splits at at most one infinite place. Let $\overline {r}:\operatorname {{\mathrm {Gal}}}(\overline {F}/F)\rightarrow \mathrm {GL}_2(\overline ...
Yongquan Hu, Haoran Wang
semanticscholar +1 more source
2003
One of the main aims of this chapter is to complete the classification theorem for quaternion algebras over a number field by establishing the existence part of that theorem. This theorem, together with other results in this chapter, make use of the rings of adeles and groups of ideles associated to number fields and quaternion algebras.
Colin Maclachlan, Alan W. Reid
openaire +1 more source
One of the main aims of this chapter is to complete the classification theorem for quaternion algebras over a number field by establishing the existence part of that theorem. This theorem, together with other results in this chapter, make use of the rings of adeles and groups of ideles associated to number fields and quaternion algebras.
Colin Maclachlan, Alan W. Reid
openaire +1 more source
Mathematical methods in the applied sciences
In comparison to quaternions, split quaternions exhibit a more intricate algebraic structure, characterized by the presence of nontrivial zero factors. Furthermore, in various fields such as geometry and electromagnetism, split quaternions serve as more ...
Zi-Han Gao, Qing‐Wen Wang, Lv-Ming Xie
semanticscholar +1 more source
In comparison to quaternions, split quaternions exhibit a more intricate algebraic structure, characterized by the presence of nontrivial zero factors. Furthermore, in various fields such as geometry and electromagnetism, split quaternions serve as more ...
Zi-Han Gao, Qing‐Wen Wang, Lv-Ming Xie
semanticscholar +1 more source
Generalized quaternion algebras
Rendiconti del Circolo Matematico di Palermo Series 2, 2023This paper is part of a small but growing circle of papers (including [\textit{E. Kizil} and \textit{Y. Alagöz}, Turk. J. Math. 43, No. 5, 2649--2657 (2019; Zbl 1431.16047)]) that study something they call ``generalized quaternion algebras'', which originate in [\textit{A. Mamagani} and \textit{M.
openaire +2 more sources
Derivations of generalized quaternion algebra
Turkish Journal of Mathematics, 2019The purpose of this paper is to determine derivations of the algebra Hα,β of generalized quaternions over the reals and hence to obtain the algebra Der(Hα,β) of derivations of Hα,β .
E. Kizil, Y. Alagöz
semanticscholar +1 more source
The continuous quaternion algebra-valued wavelet transform and the associated uncertainty principle
, 2019This article aims to extend the wavelet transform to quaternion algebra using the kernel of the two-sided quaternion Fourier transform. We study some fundamental properties of this extension such as scaling, translation, rotation, and Parseval’s identity,
Y. El Haoui
semanticscholar +1 more source
On the quaternionic Weyl algebra
Advances in Applied Clifford Algebras, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SABADINI, IRENE MARIA, D. Struppa
openaire +4 more sources