Results 51 to 60 of about 609,367 (341)

One-dimensional Quaternion Fourier Transform and Some Applications

Bulletin of Computational Applied Mathematics, 2021
The Fourier transform is a very useful tool in many areas. This transform has been defined in many contexts, as complex numbers, quaternions, and Clifford algebras.
Eusebio Ariza García, Claudia Jiménez Heredia, Carlos Chipantiza   +2 more
doaj  

Quaternion Algebras

, 2021
This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature.
openaire   +3 more sources

Liftings of Reduction Maps for Quaternion Algebras

, 2010
We construct liftings of reduction maps from CM points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefinite quaternion algebras with a given conductor and CM ...
Cornut, Christophe, Jetchev, Dimitar
core   +1 more source

Endomorphism algebras of QM abelian surfaces

, 2013
We determine endomorphism algebras of abelian surfaces with quaternion multiplication.Comment: 14 pages.
Yu, Chia-Fu
core   +1 more source

On separable extensions of group rings and quaternion rings

International Journal of Mathematics and Mathematical Sciences, 1978
The purposes of the present paper are (1) to give a necessary and sufficient condition for the uniqueness of the separable idempotent for a separable group ring extension RG(R may be a non-commutative ring), and (2) to give a full description of the set ...
George Szeto
doaj   +1 more source

Affine and wrap algebras over octonions

, 2009
The article is devoted to affine and wrap algebras over quaternions and octonions. Residues of functions of quaternion and octonion variables are studied. They are used for construction of such algebras.
Ludkovsky, S. V.
core   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

On quaternion applications in obtaining surfaces

4 open, 2019
In this paper, we survey the historical development of quaternions and give some recently studies and applications of quaternions of obtaining surfaces.
Keskin Özgür, Yaylı Yusuf
doaj   +1 more source

On split products of quaternion algebras with involution in characteristic two [PDF]

, 2015
The question of whether a split tensor product of quaternion algebras with involution over a field of characteristic two can be expressed as a tensor product of split quaternion algebras with involution, is shown to have an affirmative ...
Mahmoudi, M. G., Nokhodkar, A. -H.
core  

Counting and effective rigidity in algebra and geometry

, 2018
The purpose of this article is to produce effective versions of some rigidity results in algebra and geometry. On the geometric side, we focus on the spectrum of primitive geodesic lengths (resp., complex lengths) for arithmetic hyperbolic 2-manifolds ...
A Borel, A Borel, A Lubotzky, A Lubotzky, A Lubotzky, A Macbeath, A Pethő, AM Odlyzko, AS Golsefidy, AW Reid, AW Reid, B Brindza, B Datskovsky, B Linowitz, B Linowitz, B Linowitz, B Linowitz, Benjamin Linowitz, C Maclachlan, C Maclachlan, C Millichap, C Millichap, D Futer, D Goldfeld, D Goldfeld, D. B. McReynolds, DA Marcus, DB McReynolds, DB McReynolds, E Artin, E Wirsing, G Prasad, GA Margulis, GA Margulis, GH Hardy, H Cohen, H Cohen, H Cohn, H Davenport, H Delange, H Delange, H Huber, I Reiner, J Neukirch, J Tits, J-P Serre, JC Lagarias, JS Meyer, JWS Cassels, K Takeuchi, L Hajdu, Lola Thompson, M Belolipetsky, M Belolipetsky, M Belolipetsky, M Bhargava, M Burger, M Larsen, M Liebeck, M-F Vignéras, MM Wood, MS Raghunathan, P Buser, Paul Pollack, R Gangolli, RS Pierce, S Brueggeman, S Lang, S Louboutin, S Wang, T Chinburg, T Chinburg, T Chinburg, T Chinburg, T Chinburg, T Gelander, T Gelander, T Sunada, TM Apostol, V Platonov, VI Chernousov, W Rudin, WP Thurston   +82 more
core   +1 more source