OOIR: Observatory of International Research

Papers

(The median citation count of Advances in Applied Clifford Algebras is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	37
On Complex Kinematics and Relativity	29
On Constant-Trace Representations of Degenerate Clifford Algebras	15
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	13
Some Estimates for the Cauchy Transform in Higher Dimensions	12
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	11
Introducing Multidimensional Dirac–Hestenes Equation	10
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	10
On Jordan–Clifford Algebras, Three Fermion Generations with Higgs Fields and a $${{\mathrm {SU}(3) \times \mathrm {SU}(2)_L \times \mathrm {SU}(2)_R \times \mathrm {U}(1)}}$$ Model	10
On Structure of Inframonogenic Functions	10
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics	9
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	9
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	9
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	8
Supersymmetric Schur Q-functions and Super BKP Hierarchy	8
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	7
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	7
Zeon and Idem-Clifford Formulations of Hypergraph Problems	7
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	6
Spectrally Simple Zeros of Zeon Polynomials	6
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	6
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	6
Generalizing Classical Clifford Algebras, Graded Clifford Algebras and their Associated Geometry	6
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Formalizing Geometric Algebra in Lean	6

Fueter’s Theorem for One Class of Pseudoanalytic Functions	6
On Some Quaternionic Generalized Slice Regular Functions	5
Separable Cowreaths Over Clifford Algebras	5
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory	5
Projective Points Over Matrices and Their Separability Properties	5
Fractional Powers of the Quaternionic d-Bar Derivative	5
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	5
Deep Learning Gauss–Manin Connections	5
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	5
Exploring Quaternion Neural Network Loss Surfaces	5
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	5
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	5
Geometric Algebra Speaks Quantum Esperanto	4
Correction to: Blade Products and Angles Between Subspaces	4
Hyperquaternion Conformal Groups	4
Bicomplex Weighted Bergman Spaces and Composition Operators	4
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	4
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	4
Heron’s Formula in Higher Dimensions	4
Binary Encoded Recursive Generation of Quantum Space-Times	4
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	4
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	4
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	4
Energy–Momentum Complex in General Relativity and Gauge Theory	4
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	4
Quaternionic Approach of Slant Ruled Surfaces	4
Isomorphisms of Partial Differential Equations in Clifford Analysis	4
A Real Method for Solving Quaternion Matrix Equation $$\mathbf{X}-\mathbf{A}{\hat{\mathbf{X}}}{} \mathbf{B} = \mathbf{C}$$ Based on Semi-Tensor Product of Matrices	3
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	3
Weighted Minimization Problems for Quaternion Matrices	3
A New Type of Quaternionic Regularity	3
A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform	3
Lyapunov Stability: A Geometric Algebra Approach	3
Bicomplex Neural Networks with Hypergeometric Activation Functions	3
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	3
General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Exotic Instantons in Eight Dimensions	3
Twistor Operators in Symplectic Geometry	3
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	3
Operators and Field Equations in the Electroweak Sector of Particle Physics	3
On the Structure of Ternary Clifford Algebras and Their Irreducible Representations	2
Series Representation of Solutions of Polynomial Dirac Equations	2
Special Affine Fourier Transform for Space-Time Algebra Signals in Detail	2
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	2
On Ternary Clifford Algebras on Two Generators Defined by Extra-Special 3-Groups of Order 27	2
(Anti) de Sitter Geometry, Complex Conformal Gravity-Maxwell Theory from a Cl(4, C) Gauge Theory of Gravity and Grand Unification	2
Spinorial Representation of Surfaces in Lorentzian Homogeneous Spaces of Dimension $$\varvec{3}$$	2

Scaled Global Operators and Fueter Variables on Non-zero Scaled Hypercomplex Numbers	2
Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States	2
Siegel-Satake Cross and Associated Clifford Algebras	2
A Generalized Eigenvector–Eigenvalue Identity from the Viewpoint of Exterior Algebra	2
On Monogenic Functions and the Dirac Complex of Two Vector Variables	2
Multi-modal Medical Image Fusion Based on Geometric Algebra Discrete Cosine Transform	2
Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras	2
Cameras Seeing Cameras Geometry	2
Leibniz Bialgebras, Classical Yang–Baxter Equations and Dynamical Systems	2
Extensions and Crossed Modules of $$\varvec{n}$$-Lie–Rinehart Algebras	2
Linear Canonical Space-Time Transform and Convolution Theorems	2
M, The Power Definition in Geometric Algebra that Unveils the Shortcomings of the Nonsinusoidal Apparent Power S	2
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	2
Recent Advances for Meson Algebras and their Lipschitz Monoids	2
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	2
Conics, Their Pencils and Intersections in Geometric Algebra	2
Models of CR Manifolds and Their Symmetry Algebras	2
Monogenic Cauchy Implies Holomorphic Bochner–Martinelli	2
The Tangential k-Cauchy–Fueter Operator on Right-Type Groups and Its Bochner–Martinelli Type Formula	1
New Applications of Clifford’s Geometric Algebra	1
The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application	1
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	1
On the Mean Ergodic Theorem in Bicomplex Banach Modules	1
The Study Variety of Conformal Kinematics	1
The Orthogonal Branching Problem for Symplectic Monogenics	1
Vanishing Vector Rotation in Quadric Geometric Algebra	1
Representations of Quaternion W-MPCEP, W-CEPMP and W-MPCEPMP Inverses	1
The Sum and the Product of Two Quadratic Matrices: Regular Cases	1
Correction to: On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb	1
A Geometric Algebra Approach to Invariance Control in Sliding Regimes for Switched Systems	1
Hypercomplex Representation of Finite-Dimensional Unital Archimedean f-Algebras	1
Harmonic Analysis on Exceptional Domain $$E_{6(-14)}/U(1)Spin(10)$$	1
Functional Calculus for Dual Quaternions	1
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	1
Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics	1
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	1
Machine Learning Discovers Invariants of Braids and Flat Braids	1
Quaternion Quantum Neural Network for Classification	1
Clifford Spinors and Root System Induction: $$H_4$$ and the Grand Antiprism	1
Basis-free Solution to Sylvester Equation in Clifford Algebra of Arbitrary Dimension	1
MiTopos	1
Machine Learning Clifford Invariants of ADE Coxeter Elements	1
Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity	1
The Radon–Penrose Transformation for Quaternionic k-Regular Functions on Right-Type Groups	1
On Monogenic Reproducing Kernel Hilbert Spaces of the Paley–Wiener Type	1
Self-Dual Maxwell Fields from Clifford Analysis	1
Spinorial Representation of Submanifolds in a Product of Space Forms	1
Clifford Algebra-Valued Segal–Bargmann Transform and Taylor Isomorphism	1
More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects	1
Quaternionic Subspace Gabor Frames and Their Duals	1
Branching of Weil Representation for $$G_2$$	1
Properties of Clifford-Legendre Polynomials	1
Adaptive Fourier Decomposition of Slice Regular Functions	1
A Multi-dimensional Unified Concavity and Convexity Detection Method Based on Geometric Algebra	1
Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform	1
On Some Lie Groups in Degenerate Clifford Geometric Algebras	1
Clifford Algebraic Approach to the De Donder–Weyl Hamiltonian Theory	1
Solving and Algorithm to System of Quaternion Sylvester-Type Matrix Equations with $$*$$-Hermicity	1
On Optimal Inequalities for Anti-invariant Riemannian Submersions from Conformal Sasakian Space Forms	1
A Note on Centralizers and Twisted Centralizers in Clifford Algebras	1
Real Spinors and Real Dirac Equation	1
Hayman Theorem in $${\mathcal {R}}_+^{n+1}$$ with the Clifford Analysis Setting	1
On the Construction of Beltrami Fields and Associated Boundary Value Problems	1
New Versions of the Plemelj–Sochocki Formula in Clifford Analysis	1
Brownian Motion, Martingales and Itô Formula in Clifford Analysis	1
Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes	1