Results 51 to 60 of about 19,016 (193)
On the Notion of Complete Intersection outside the Setting of Skew Polynomial Rings
, 2015 In recent work of T. Cassidy and the author, a notion of complete intersection was defined for (non-commutative) regular skew polynomial rings, defining it using both algebraic and geometric tools, where the commutative definition is a special case.
Artin M. +5 more
core +1 more source
Annalen der Physik, Volume 538, Issue 1, January 2026.The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley +1 more source
Analytical Frameworks and Theories of Electric Power in Non‐Linear Circuits
IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.Based on the challenges of distorted currents and non‐linear components in modern power grids, this article reviews seminal electrical power theories that seek to generalize the traditional definitions of active, reactive, and apparent power. It provides a detailed analysis of their mathematical foundations, practical implementation, and validity.
Rafael Escudero, Luis Ibarra
wiley +1 more source
Clifford Fibrations and Possible Kinematics
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras and groups [Bacry H., Levy ...
Alan S. McRae
doaj +1 more source
Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley +1 more source
Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains
Boundary Value Problems, 2010 Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions.
Paul Bosch +2 more
doaj +2 more sources
Advanced Quantum Technologies, Volume 8, Issue 12, December 2025.The hybrid approach to Quantum Supervised Machine Learning is compatible with Noisy Intermediate Scale Quantum (NISQ) devices but hardly useful. Pure quantum kernels requiring fault‐tolerant quantum computers are more promising. Examples are kernels computed by means of the Quantum Fourier Transform (QFT) and kernels defined via the calculation of ...
Massimiliano Incudini +2 more
wiley +1 more source
Differential forms versus multi-vector functions in Hermitean Clifford analysis
Cubo, 2011 Similarities are shown between the algebras of complex differential forms and of complex Clifford algebra-valued multi-vector functions in an open region of Euclidean space of even dimension.Se presentan las similitudes entre las álgebras de formas ...
F Brackx +2 more
doaj
Clifford algebras and the classical dynamical Yang-Baxter equation
, 2002 We describe a relationship of the classical dynamical Yang-Baxter equation with the following elementary problem for Clifford algebras: Given a vector space $V$ with quadratic form $Q_V$, how is the exponential of an element in $\wedge^2(V)$ under ...
Alekseev, A., Meinrenken, E.
core +3 more sources
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies
Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15985-15997, 30 November 2025.ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo +3 more
wiley +1 more source