Results 21 to 30 of about 263 (180)

Derivations on Certain Semigroup Algebras [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2007
In the present paper we give a partially negative answer to a conjecture of Ghahramani, Runde and Willis. We also discuss the derivation problem for both foundation semigroup algebras and Clifford semigroup algebras.
M. Lashkarizadeh Bami
doaj  

Computation of Minimal Polynomials and Multivector Inverses in Non-Degenerate Clifford Algebras

open access: yesMathematics
Clifford algebras are an active area of mathematical research having numerous applications in mathematical physics and computer graphics, among many others.
Dimiter Prodanov
doaj   +1 more source

A Unique Mathematical Derivation of the Fundamental Laws of Nature Based on a New Algebraic-Axiomatic (Matrix) Approach ‡

open access: yesUniverse, 2017
In this article, as a new mathematical approach to origin of the laws of nature, using a new basic algebraic axiomatic (matrix) formalism based on the ring theory and Clifford algebras (presented in Section 2), “it is shown that certain mathematical ...
Ramin Zahedi
doaj   +1 more source

Structures of spinors fiber bundles with special relativity of Dirac operator using the Clifford algebra

open access: yesDemonstratio Mathematica, 2021
The purpose of this article is to demonstrate how to use the mathematics of spinor bundles and their category. We have used the methods of principle fiber bundles obey thorough solid harmonic treatment of pseudo-Riemannian manifolds and spinor structures
Hassan Yousif Atyeib Ibrahim
doaj   +1 more source

Clifford Algebras, Spin Groups and Qubit Trees

open access: yesQuanta, 2022
Representations of Spin groups and Clifford algebras derived from the structure of qubit trees are introduced in this work. For ternary trees the construction is more general and reduction to binary trees is formally defined by deletion of superfluous ...
Alexander Yurievich Vlasov
doaj   +1 more source

Causal analysis of extreme risk in a network of industry portfolios

open access: yesCanadian Journal of Statistics, Volume 54, Issue 1, March 2026.
Abstract We provide a detailed review of causal dependence within the framework of max‐linear structural models. Such models express each node variable as a max‐linear function of its parental node variables in a directed acyclic graph (DAG) and some exogenous innovation.
Claudia Klüppelberg, Mario Krali
wiley   +1 more source

Analyzing the Free States of one Quantum Resource Theory as Resource States of Another

open access: yesAdvanced Quantum Technologies, Volume 9, Issue 2, February 2026.
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris   +5 more
wiley   +1 more source

Hyperquaternions and physics

open access: yesSciPost Physics Proceedings, 2023
The paper develops, within a new representation of Clifford algebras in terms of tensor products of quaternions called hyperquaternions, several applications.
Patrick R. Girard, Romaric Pujol, Patrick Clarysse, Philippe Delachartre
doaj   +1 more source

Derangements in intransitive groups

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley   +1 more source

Iterant Algebra

open access: yesEntropy, 2017
We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
doaj   +1 more source

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