Advances in Applied Clifford Algebras

On Hom-Lie Superalgebras

Uncertainty Principles For The Continuous Quaternion Shearlet Transform

Determinantal Representations of the Quaternion Core Inverse and Its Generalizations

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

Three-Dimensional Quadrics in Conformal Geometric Algebras and Their Versor Transformations

Characteristic Polynomials in Clifford Algebras and in More General Algebras

On Cayley’s Factorization with an Application to the Orthonormalization of Noisy Rotation Matrices

S-Polyregular Bargmann Spaces

REFORM: Rotor Estimation From Object Resampling and Matching

Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra

On Paravectors and Their Associated Algebras

$${2\\times 2}$$2×2 Matrix Representation Forms and Inner Relationships of Split Quaternions

Zeros of Zeon Polynomials and the Zeon Quadratic Formula

Hypermonogenic plane wave solutions of the dirac equation in superspace

Quaternion-Valued Smooth Compactly Supported Orthogonal Wavelets with Symmetry

$$\\varvec{(m,h)}$$(m,h) -Monogenic Functions Related to Axially Symmetric Helmholtz Equations

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

Hyperbolic Function Theory in the Skew-Field of Quaternions

Solutions of Inhomogeneous Generalized Moisil–Teodorescu Systems in Euclidean Space

Split Octonionic Cauchy Integral Formula

An Unified CGA-Based Formal Expression of Spatio-Temporal Topological Relations for Computation and Analysis of Geographic Objects

Reflection Principle for the Complex Monge–Ampère Equation and Plurisubharmonic Functions

Zeon and Idem-Clifford Formulations of Boolean Satisfiability

Conformal Villarceau Rotors

Self-location of Unmanned Aerial Vehicle Using Conformal Geometric Algebra

Boundary Value Problems for Non-linear First Order Systems of Partial Differential Equations in Higher Dimensions, Especially in Three Dimensions

Differential Calculus of Zeon Functions

On Super Yangian Covariance of the Triple Product System

Consistently Oriented Dart-based 3D Modelling by Means of Geometric Algebra and Combinatorial Maps

Construction of Special Solutions for the Maxwell Equations

Projective View on Motion Groups I: Kinematics and Relativity

A Right Inverse Operator for $${\\text {curl}}+\\lambda $$curl+λ and Applications

Spinorial Representation of Submanifolds in $${\\varvec{SL}}_{\\varvec{n}}{\\varvec{(\\mathbb {C})/SU(n)}}$$SLn(C)/SU(n)

Born–Infeld Gravity from the MacDowell–Mansouri Action and Its Associated $${\\varvec{\\beta }}$$β-Term

$$\\varvec{GL_{r,s}(n)}$$GLr,s(n)-Covariant Differential Calculi on the Quantum n-Space

Fractals and Chaos Related to Ising-Onsager-Zhang Lattices. Quaternary Approach vs. Ternary Approach

Immersion in $$\\pmb {{\\mathbb {S}}}^{n}$$ S n by Complex Spinors

On the Turán Inequality for Quaternionic Polynomials

Homothetical Surfaces in Three Dimensional Pseudo–Galilean Spaces Satisfying $$\\Delta ^{II}\\mathbf{x }_i=\\lambda _i\\mathbf{x }_i$$ΔIIxi=λixi

On the Quaternionic Quadratic Equation $$\\varvec{xax+bx+xc+d=0}$$xax+bx+xc+d=0

A Low-Memory Time-Efficient Implementation of Outermorphisms for Higher-Dimensional Geometric Algebras

A New View of Generalized Clifford Algebras

Algebraic Construction of Near-Bent and APN Functions

Some New Quaternionic Quadratics with Zeros in Terms of Second Order Quaternion Recurrences

Monte Carlo Geometry Modeling for Particle Transport Using Conformal Geometric Algebra

On Quaternion Equivalents for Quasi-Fibonacci Numbers, Shortly Quaternaccis

Correction to: Some New Quaternionic Quadratics with Zeros in Terms of Second Order Quaternion Recurrences