Results 21 to 30 of about 47,483 (247)

k-deformed Poincare algebras and quantum Clifford-Hopf algebras

open access: yes, 2010
The Minkowski spacetime quantum Clifford algebra structure associated with the conformal group and the Clifford-Hopf alternative k-deformed quantum Poincare algebra is investigated in the Atiyah-Bott-Shapiro mod 8 theorem context.
ALEX E. BERNARDINI   +9 more
core   +1 more source

Orthogonal symmetries and Clifford algebras [PDF]

open access: yes, 2010
Involutions of the Clifford algebra of a quadratic space induced by orthogonal symmetries are investigated.Comment: 22 ...
Mahmoudi, M. G.
core   +2 more sources

Extended Grassmann and Clifford algebras

open access: yes, 2006
This paper is intended to investigate Grassmann and Clifford algebras over Peano spaces, introducing their respective associated extended algebras, and to explore these concepts also from the counterspace viewpoint.
da Rocha, Roldao, Vaz, Jr, Jayme
core   +1 more source

Global surpluses of spin-base invariant fermions

open access: yesPhysics Letters B, 2015
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra.
Holger Gies, Stefan Lippoldt
doaj   +1 more source

Isotopic liftings of Clifford algebras and applications in elementary particle mass matrices

open access: yes, 2007
Isotopic liftings of algebraic structures are investigated in the context of Clifford algebras, where it is defined a new product involving an arbitrary, but fixed, element of the Clifford algebra.
A.O.E. Animalu   +28 more
core   +1 more source

Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays

open access: yesComplexity, 2019
In this paper, we are concerned with Clifford-valued cellular neural networks (CNNs) with discrete delays. Since Clifford algebra is a unital associative algebra and its multiplication is noncommutative, to overcome the difficulty of the noncommutativity
Yongkun Li, Jianglian Xiang
doaj   +1 more source

Clifford Geometric Algebra-Based Approach for 3D Modeling of Agricultural Images Acquired by UAVs

open access: yesIEEE Access, 2020
Three-dimensional image modeling is essential in many scientific disciplines, including computer vision and precision agriculture. So far, various methods of creating three-dimensional (3D) models have been considered.
Prince Waqas Khan   +2 more
doaj   +1 more source

Some Characterizations for Approximate Biflatness of Semigroup Algebras

open access: yesJournal of Mathematics, 2023
In this paper, we study an approximate biflatness of l1S, where S is a Clifford semigroup. Indeed, we show that a Clifford semigroup algebra l1S is approximately biflat if and only if every maximal subgroup of S is amenable, ES is locally finite, and l1S
N. Razi, A. Sahami
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré   +4 more
wiley   +1 more source

Riemann Boundary Value Problem for Triharmonic Equation in Higher Space

open access: yesThe Scientific World Journal, 2014
We mainly deal with the boundary value problem for triharmonic function with value in a universal Clifford algebra: Δ3[u](x)=0, x∈Rn∖∂Ω, u+(x)=u-(x)G(x)+g(x), x∈∂Ω, (Dju)+(x)=(Dju)-(x)Aj+fj(x), x∈∂Ω, u(∞)=0, where (j=1,…,5)  ∂Ω is a Lyapunov surface in ...
Longfei Gu
doaj   +1 more source

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