Quaternions, 2x2 complex matrices and Lorentz transformations

Quaternions, 2x2 complex matrices and Lorentz transformations

Show other versions (1)

We show that the matrix method to construct Lorentz transformations permit to deduce the corresponding quaternionic procedure. DOI: http://dx.doi.org/10.3126/bibechana.v12i0.11671 BIBECHANA 12 (2015) 30-34

Bibliographic Details
Main Authors:	B. E. Carvajal-Gámez, I. J. Guerrero-Moreno, J. López-Bonilla
Format:	Article
Language:	English
Published:	Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University 2014-12-01
Series:	Bibechana
Subjects:	Unitary quaternions 2x2 complex matrices Lorentz’s matrix.
Online Access:	https://www.nepjol.info/index.php/BIBECHANA/article/view/11671

Similar Items

Quaternions, 2x2 complex matrices and Lorentz transformations
by: B. E. Carvajal-Gámez, et al.
Published: (2014-12-01)

Trace Invariance for Quaternion Matrices
by: Ralph John de la Cruz
Published: (2015-12-01)

Quaternions, números complexos e os ensembles de matrizes aleatórias
by: A.C Bertuola

Lorentz Boosts and Wigner Rotations: Self-Adjoint Complexified Quaternions
by: Thomas Berry, et al.
Published: (2021-05-01)

Fast Eigenvalue Decomposition of Arrowhead and Diagonal-Plus-Rank-<i>k</i> Matrices of Quaternions
by: Thaniporn Chaysri, et al.
Published: (2024-04-01)

On the Consimilarity of Split Quaternions and Split Quaternion Matrices
by: Kösal Hidayet Hüda, et al.
Published: (2016-11-01)

The Commutation Matrices of Elements in Kronecker Quaternion Groups
by: Yanita Yanita, et al.
Published: (2022-01-01)

Generalized commutative Jacobsthal quaternions and some matrices
by: Dorota Bród, et al.
Published: (2023-11-01)

The Lorentz Group Using Conformal Geometric Algebra and Split Quaternions for Color Image Processing: Theory and Practice
by: Eduardo Bayro-Corrochano, et al.
Published: (2023-01-01)

Unitary Diagonalization of the Generalized Complementary Covariance Quaternion Matrices with Application in Signal Processing
by: Zhuo-Heng He, et al.
Published: (2023-12-01)

A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
by: Emel Karaca, et al.
Published: (2020-12-01)

Pauli Gaussian Fibonacci and Pauli Gaussian Lucas Quaternions
by: Ayşe Zeynep Azak
Published: (2022-12-01)

Quaternion Matrix Factorization for Low-Rank Quaternion Matrix Completion
by: Jiang-Feng Chen, et al.
Published: (2023-05-01)

Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices
by: Bahar Demirtürk Bitim
Published: (2019-01-01)

Parameterized steering criteria via correlation matrices
by: Qing-Hua Zhang, et al.
Published: (2024-01-01)

(2 + 1)-Maxwell Equations in Split Quaternions
by: Merab Gogberashvili
Published: (2022-03-01)

On Products of Random Matrices
by: Natalia Amburg, et al.
Published: (2020-08-01)

A Global Krylov Subspace Method for the Sylvester Quaternion Matrix Equation
by: Sinem Şimşek
Published: (2024-06-01)

A real representation method for special least squares solutions of the quaternion matrix equation (AXB,DXE)=(C,F)
by: Fengxia Zhang, et al.
Published: (2022-06-01)

Elliptic Quaternion Matrices: A MATLAB Toolbox and Applications for Image Processing
by: Hidayet Hüda Kösal, et al.
Published: (2024-11-01)

Elliptic Quaternion Matrices: Theory and Algorithms
by: Hidayet Hüda Kösal, et al.
Published: (2024-09-01)

One-dimensional quaternion Laplace transform: Properties and its application to quaternion-valued differential equations
by: Muhammad Afdal Bau, et al.
Published: (2023-12-01)

Commutative Quaternion Algebra with Quaternion Fourier Transform-Based Alpha-Rooting Color Image Enhancement
by: Artyom M. Grigoryan, et al.
Published: (2025-01-01)

New Sampling Expansion Related to Derivatives in Quaternion Fourier Transform Domain
by: Siddiqui Saima, et al.
Published: (2022-04-01)

On the Bicomplex $k$-Fibonacci Quaternions
by: Fügen Torunbalcı Aydın
Published: (2019-09-01)

Direct dialling of Haar random unitary matrices
by: Nicholas J Russell, et al.
Published: (2017-01-01)

Solvability and algorithm for Sylvester-type quaternion matrix equations with potential applications
by: Abdur Rehman, et al.
Published: (2024-06-01)

Quaternions : a herald of modern algebra [filem]
Published: (1975)

Quaternions : a herald of modern algebra [kasetvideo]
Published: (1975)

On Recursive Hyperbolic Fibonacci Quaternions
by: Ahmet Daşdemir
Published: (2021-12-01)

Discrete Frames on Finite Dimensional Left Quaternion Hilbert Spaces
by: M. Khokulan, et al.
Published: (2017-02-01)

Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$
by: Sevilay Çoruh Şenocak, et al.
Published: (2024-12-01)

A System of Four Generalized Sylvester Matrix Equations over the Quaternion Algebra
by: Zhuo-Heng He, et al.
Published: (2024-07-01)

MONOMIAL (1, 0,-1) MATRIX OF THE FOURTH ORDER, ISOMORPHIC TO THE GROUP OF QUATERNIONS
by: V. V. Kravets, et al.
Published: (2009-07-01)

Adjoint representations for SU(2), su(2) and sl(2)
by: Saad Owaid, et al.
Published: (2017-07-01)

The Neutrosophic Quaternions Numbers
by: Yaser Ahmad Alhasan, et al.
Published: (2024-02-01)

Enabling quaternion derivatives: the generalized HR calculus
by: Dongpo Xu, et al.
Published: (2015-01-01)

Four symmetric systems of the matrix equations with an application over the Hamilton quaternions
by: Long-Sheng Liu, et al.
Published: (2024-11-01)

Lorentz group /
by: Brittin, Wesley Emil
Published: (1964)

Dual Jacobsthal Quaternions
by: Fügen Torunbalcı Aydın
Published: (2020-09-01)