OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Applied Clifford Algebras is 3. 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 2020-11-01 to 2024-11-01.)

Article	Citations
Algorithmically Solving the Tadpole Problem	34
New Applications of Clifford’s Geometric Algebra	25
Geometric Algebra of Singular Ruled Surfaces	22
Some Results for the Two-Sided Quaternionic Gabor Fourier Transform and Quaternionic Gabor Frame Operator	21
Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras	17
A Quaternion Matrix Equation with Two Different Restrictions	10
Decomposition for a Quaternion Tensor Triplet with Applications	10
Linear Canonical Wavelet Transform in Quaternion Domains	10
Weyl and Majorana Spinors as Pure Goldstone Bosons	10
Quaternion Fourier Transform and Generalized Lipschitz Classes	10
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra	9
Fractional Elementary Bicomplex Functions in the Riemann–Liouville Sense	9
The Sum and the Product of Two Quadratic Matrices: Regular Cases	9
Multi-modal Medical Image Fusion Based on Geometric Algebra Discrete Cosine Transform	8
MPCEP-$$*$$CEPMP-Solutions of Some Restricted Quaternion Matrix Equations	8
Investigation of Generalized $$\mathcal {Z}$$- Recurrent Spacetimes and $$f(\mathcal {R},T)$$-Gravity	7
On Structure of Inframonogenic Functions	7
An Introduction to Hyperholomorphic Spectral Theories and Fractional Powers of Vector Operators	7
Basis-free Solution to Sylvester Equation in Clifford Algebra of Arbitrary Dimension	7
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	7
Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra	7
Quaternionic Linear Canonical Wave Packet Transform	6
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	6
Classification of Left Octonionic Modules	6
Solvability of New Constrained Quaternion Matrix Approximation Problems Based on Core-EP Inverses	6

Foundations for Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra	6
Graded Symmetry Groups: Plane and Simple	6
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics	5
Weighted Minimization Problems for Quaternion Matrices	5
An All-in-One Geometric Algorithm for Cutting, Tearing, and Drilling Deformable Models	5
Ternary Clifford Algebras	4
On the Jackson–Stechkin Theorems for the Best Approximations of Functions in Clifford Algebras	4
An Online Calculator for Quantum Computing Operations Based on Geometric Algebra	4
Solving and Algorithm to System of Quaternion Sylvester-Type Matrix Equations with $$*$$-Hermicity	4
Vanishing Vector Rotation in Quadric Geometric Algebra	4
Complete Systems of Beltrami Fields Using Complex Quaternions and Transmutation Theory	4
Deep Learning Gauss–Manin Connections	4
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	4
On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras	4
Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes	4
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	4
Titchmarsh’s Theorem in Clifford Analysis	4
Formalizing Geometric Algebra in Lean	4
A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform	4
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	4
Energy–Momentum Complex in General Relativity and Gauge Theory	4
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	4
The Underlying Fiber Bundle Geometry of the CAM Gauge Model of the Standard Model of Particle Physics: $$\pmb {SU(3)}$$	4
On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb	4
A Fiber Bundle over the Quaternionic Slice Regular Functions	3
The Fixed Points and Cross-Ratios of Hyperbolic Möbius Transformations in Bicomplex Space	3
Two-Component Spinorial Formalism Using Quaternions for Six-Dimensional Spacetimes	3
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	3
Two-sided Clifford-valued Linear Canonical Transform: Properties and Mustard Convolution	3
A Generalised Quaternion and Clifford Algebra Based Mathematical Methodology to Effect Multi-stage Reassembling Transformations in Parallel Robots	3
On Ternary Clifford Algebras on Two Generators Defined by Extra-Special 3-Groups of Order 27	3
Pitt’s Inequality and Logarithmic Uncertainty Principle for the Clifford-Fourier Transform	3
Zeon Matrix Inverses and the Zeon Combinatorial Laplacian	3
Two-State Quantum Systems Revisited: A Clifford Algebra Approach	3
Quaternion Quantum Neural Network for Classification	3
Jackson Theorems for the Quaternion Linear Canonical transform	3
Leibniz Bialgebras, Classical Yang–Baxter Equations and Dynamical Systems	3
One-Dimensional Quaternionic Special Affine Fourier Transform	3
Geometric Algebra Speaks Quantum Esperanto	3
A New Approach to Slice Analysis Via Slice Topology	3