ADVANCES IN APPLIED CLIFFORD ALGEBRAS (AACA) 在 CLIFFORD 代数及其在数学、物理、工程和相关领域的其他分支中的应用领域发表高质量的同行评审研究论文以及说明性和调查性文章。该杂志确保快速出版，分为六个部分：分析、微分几何和狄拉克算子、数学结构、理论和数学物理、应用和书评。

The journal "Advances in Applied Clifford Algebras" focuses on Clifford algebras and their applications in mathematics, physics, engineering, and related fields. It publishes high-quality peer-reviewed research papers, as well as expository and survey articles, ensuring rapid publication. The journal is divided into six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.

《Advances in Applied Clifford Algebras》期刊专注于克利福德代数及其在数学、物理、工程及相关领域的应用。该期刊发表高质量的同行评审研究论文，以及说明性和调查性文章，确保快速出版。期刊内容分为六个部分：分析、微分几何与狄拉克算子、数学结构、理论与数学物理、应用以及书评。

Advances in Applied Clifford Algebras

Zhuo-Heng He

Ting-Ting Liu

Xiang-Xiang Wang

Eigenvalues of Quaternion Tensors: Properties, Algorithms and Applications

四元数张量的特征值：性质、算法及应用

Pierre Anglès

The Structure of the Clifford Algebra

Clifford代数的结构

We study briefly some properties of real Clifford algebras and identify them as matrix algebras. We then show that the representation space on which Clifford algebras act are spinors and we study in details matrix representations. The precise structure of these matrices gives rise to the type of spinors one is able to construct in a given space-time dimension: Majorana or Weyl. Properties of spinors are also studied. We finally show how Clifford algebras enable us to construct supersymmetric extensions of the Poincaré algebra. A special attention to the four, ten and eleven-dimensional space-times is given. We then study the representations of the considered supersymmetric algebras and show that representation spaces contain an equal number of bosons and fermions. Supersymmetry turns out to be a symmetry which mixes non-trivially the bosons and the fermions since one multiplet contains bosons and fermions together. We also show how supersymmetry in four and ten dimensions are related to eleven dimensional supersymmetry by compactification or dimensional reduction.

Michel Rausch de Traubenberg

Clifford Algebras in Physics

物理学中的克利福德代数

V. M. Simulik

On the Gamma Matrix Representations of SO(8) and Clifford Algebras

关于SO(8)和Clifford代数的Gamma矩阵表示

I. I. Vyikon

On the Representations of Clifford and SO(1,9) Algebras for 8-Component Dirac Equation

关于8分量狄拉克方程的Clifford和SO(1,9)代数表示

Bernd Schmeikal

MiTopos

Abstract The study of complex functions is based around the study of holomorphic functions, satisfying the Cauchy-Riemann equations. The relatively recent field of Clifford Analysis lets us extend many results from Complex Analysis to higher dimensions. In this paper, I decompose the Cauchy-Riemann equations for a general Clifford algebra into grades using the Geometric Algebra formalism, and show that for the Spacetime Algebra Cl (3, 1) these equations are the equations for a self-dual source free Maxwell field, and for a massless uncharged Spinor. This shows a deep link between fundamental physics and the Clifford geometry of Spacetime.

C. J. Robson

Self-Dual Maxwell Fields from Clifford Analysis

从 Clifford 分析看自对偶 Maxwell 场

Weihua Chen

Caiqin Song

STP Method for Solving the Least Squares Special Solutions of Quaternion Matrix Equations

四元数矩阵方程最小二乘特解的STP方法

Vitalii Shpakivskyi

Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method

用超复方法构造三维双调和方程的无穷维精确解族

Abbreviation	Adv. Appl. Clifford Algebras
Journal Impact	0.98
Quartiles(Global)	PHYSICS, MATHEMATICAL(Q3)

ISSN	0188-7009, 1661-4909
h-index	34

Publication Information	Publisher: Birkhauser Verlag Basel，Publishing cycle: Quarterly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 2003，Proportion of original research papers: 100.00%，Self Citation Rate:9.10%， Gold OA Rate: 11.58%
Average review cycle	网友分享经验：平均3.0个月
Average recruitment ratio	网友分享经验：容易

Advances in Applied Clifford Algebras

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Eigenvalues of Quaternion Tensors: Properties, Algorithms and Applications

The Structure of the Clifford Algebra

Clifford Algebras in Physics

On the Gamma Matrix Representations of SO(8) and Clifford Algebras

On the Representations of Clifford and SO(1,9) Algebras for 8-Component Dirac Equation

MiTopos

Self-Dual Maxwell Fields from Clifford Analysis

STP Method for Solving the Least Squares Special Solutions of Quaternion Matrix Equations

Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method

Eigenvalues of Quaternion Tensors: Properties, Algorithms and Applications