Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.
应用克利福德代数进展（英语：Advances in Applied Clifford Algebras）（AACA）出版高质量的同行评审的研究论文，以及克利福德代数及其在数学、物理、工程和相关领域的应用领域的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。
L1-Norm Minimization for Multi-dimensional Signals Based on Geometric Algebra
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0950-7
Garamon: A Geometric Algebra Library Generator
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0987-7
A System of Coupled Quaternion Matrix Equations with Seven Unknowns and Its Applications
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0955-2
On Hom-Lie Superalgebras
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-018-0932-1
Uncertainty Principles For The Continuous Quaternion Shearlet Transform
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0961-4
Determinantal Representations of the Quaternion Core Inverse and Its Generalizations
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1024-6
Consistency of Split Quaternion Matrix Equations $$AX^{\\star }-XB=CY+D$$ A X ⋆ - X B = C Y + D and $$X-AX^\\star B=CY+D$$ X - A X ⋆ B = C Y + D
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-0980-1
Three-Dimensional Quadrics in Conformal Geometric Algebras and Their Versor Transformations
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0964-1
Characteristic Polynomials in Clifford Algebras and in More General Algebras
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0944-5
On Cayley’s Factorization with an Application to the Orthonormalization of Noisy Rotation Matrices
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0965-0
S-Polyregular Bargmann Spaces
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1005-9
REFORM: Rotor Estimation From Object Resampling and Matching
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0985-9
Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.17863/CAM.46117
On Paravectors and Their Associated Algebras
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0948-1
$${2\\times 2}$$2×2 Matrix Representation Forms and Inner Relationships of Split Quaternions
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0951-6
Zeros of Zeon Polynomials and the Zeon Quadratic Formula
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0938-3
Hypermonogenic plane wave solutions of the dirac equation in superspace
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0981-0
Quaternion-Valued Smooth Compactly Supported Orthogonal Wavelets with Symmetry
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0945-4
$$\\varvec{(m,h)}$$(m,h) -Monogenic Functions Related to Axially Symmetric Helmholtz Equations
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1023-7
The Existence and Global Exponential Stability of $${\\varvec{\\mu }}$$μ -Pseudo Almost Periodic Solutions of Clifford-Valued Semi-linear Delay Differential Equations and an Application
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1025-5
Hyperbolic Function Theory in the Skew-Field of Quaternions
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1017-5
Solutions of Inhomogeneous Generalized Moisil–Teodorescu Systems in Euclidean Space
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0946-3
Split Octonionic Cauchy Integral Formula
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1010-z
An Unified CGA-Based Formal Expression of Spatio-Temporal Topological Relations for Computation and Analysis of Geographic Objects
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0971-2
Reflection Principle for the Complex Monge–Ampère Equation and Plurisubharmonic Functions
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0984-X
Zeon and Idem-Clifford Formulations of Boolean Satisfiability
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0978-8
Conformal Villarceau Rotors
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0960-5
Self-location of Unmanned Aerial Vehicle Using Conformal Geometric Algebra
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0992-X
Boundary Value Problems for Non-linear First Order Systems of Partial Differential Equations in Higher Dimensions, Especially in Three Dimensions
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1019-3
Differential Calculus of Zeon Functions
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0943-6
On Super Yangian Covariance of the Triple Product System
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-018-0933-0
Consistently Oriented Dart-based 3D Modelling by Means of Geometric Algebra and Combinatorial Maps
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-018-0927-Y
Construction of Special Solutions for the Maxwell Equations
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1013-9
Projective View on Motion Groups I: Kinematics and Relativity
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0962-3
A Right Inverse Operator for $${\\text {curl}}+\\lambda $$curl+λ and Applications
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0958-Z
Spinorial Representation of Submanifolds in $${\\varvec{SL}}_{\\varvec{n}}{\\varvec{(\\mathbb {C})/SU(n)}}$$SLn(C)/SU(n)
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0970-3
Born–Infeld Gravity from the MacDowell–Mansouri Action and Its Associated $${\\varvec{\\beta }}$$β-Term
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0940-9
$$\\varvec{GL_{r,s}(n)}$$GLr,s(n)-Covariant Differential Calculi on the Quantum n-Space
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0968-X
Fractals and Chaos Related to Ising-Onsager-Zhang Lattices. Quaternary Approach vs. Ternary Approach
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0957-0
Immersion in $$\\pmb {{\\mathbb {S}}}^{n}$$ S n by Complex Spinors
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0986-8
On the Turán Inequality for Quaternionic Polynomials
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0997-5
Homothetical Surfaces in Three Dimensional Pseudo–Galilean Spaces Satisfying $$\\Delta ^{II}\\mathbf{x }_i=\\lambda _i\\mathbf{x }_i$$ΔIIxi=λixi
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1007-7
On the Quaternionic Quadratic Equation $$\\varvec{xax+bx+xc+d=0}$$xax+bx+xc+d=0
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-0999-3
A Low-Memory Time-Efficient Implementation of Outermorphisms for Higher-Dimensional Geometric Algebras
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-020-1047-z
A New View of Generalized Clifford Algebras
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0966-Z
Algebraic Construction of Near-Bent and APN Functions
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/s00006-019-1012-x
Some New Quaternionic Quadratics with Zeros in Terms of Second Order Quaternion Recurrences
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-018-0931-2
Monte Carlo Geometry Modeling for Particle Transport Using Conformal Geometric Algebra
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0939-2
On Quaternion Equivalents for Quasi-Fibonacci Numbers, Shortly Quaternaccis
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0969-9
Correction to: Some New Quaternionic Quadratics with Zeros in Terms of Second Order Quaternion Recurrences
来源期刊：Advances in Applied Clifford AlgebrasDOI：10.1007/S00006-019-0952-5
