Results 91 to 100 of about 122,808 (179)

Orders of quaternion algebras with involution

Journal of Number Theory, 2018
We introduce the notion of maximal orders over quaternion algebras with orthogonal involution and give a classification over local fields, and a partial classification over algebraic number fields.
openaire   +2 more sources

Algebras of Toeplitz Matrices with Quaternion Entries

The classification of maximal left algebras of quaternion Toeplitz matrices is a harder problem that has received little attention up to now. In this paper, we introduce certain families of maximal left algebras of Toeplitz matrices with entries from an ...
Yagoub, Muhammad Ahsan Khan Ameur
core  

Factorization of Dual Quaternion Polynomials Without Study's Condition. [PDF]

Adv Appl Clifford Algebr, 2021
Siegele J, Pfurner M, Schröcker HP.
europepmc   +1 more source

On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model. [PDF]

Ann Henri Poincare, 2022
Perez-Sanchez CI.
europepmc   +1 more source

A Spatiotemporal Calibration Algorithm for IMU-LiDAR Navigation System Based on Similarity of Motion Trajectories. [PDF]

Sensors (Basel), 2022
Li Y, Yang S, Xiu X, Miao Z.
europepmc   +1 more source

A linear AFL for quaternion algebras [PDF]

We prove new fundamental lemma and arithmetic fundamental lemma identities for general linear groups over quaternion division algebras. In particular, we verify the transfer conjeture and the arithmetic transfer conjecture from arXiv:2307.11716 in cases ...
Mihatsch, Andreas, Hultberg, Nuno
core   +1 more source

A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales. [PDF]

Entropy (Basel), 2021
Wang C, Agarwal RP.
europepmc   +1 more source

Levels of quaternion algebras

, 2007
. The level of a ring R with 1 = 0 is the smallest positive integer s such that −1 can be written as a sum of s squares in R, provided −1 is a sum of squares at all. D.W.
Detlev W. Hoffmann
core  

A note on equidistribution on a product of Shimura curves and André-Oort. [PDF]

Rend Circ Mat Palermo
Saettone FM.
europepmc   +1 more source

Quadratic Split Quaternion Polynomials: Factorization and Geometry. [PDF]

Adv Appl Clifford Algebr, 2020
Scharler DF, Siegele J, Schröcker HP.
europepmc   +1 more source