Results 41 to 50 of about 5,272 (123)
The general classical solution of the superparticle
, 1994 The theory of vectors and spinors in 9+1 dimensional spacetime is introduced in a completely octonionic formalism based on an octonionic representation of the Clifford algebra $\Cl(9,1)$.
Bengtsson I +28 more
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On the Jucys–Murphy method and fusion procedure for the Sergeev superalgebra
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We use the Jucys–Murphy elements to construct a complete set of primitive idempotents for the Sergeev superalgebra Sn${\mathcal {S}}_n$. We produce seminormal forms for the simple modules over Sn${\mathcal {S}}_n$ and over the spin symmetric group algebra with explicit constructions of basis vectors.
Iryna Kashuba +2 more
wiley +1 more source
Nonlinear Connections and Spinor Geometry
, 2004 We present an introduction to the geometry of higher order vector and co-vector bundles (including higher order generalizations of the Finsler geometry and Kaluza--Klein gravity) and review the basic results on Clifford and spinor structures on spaces ...
Vacaru, Sergiu I., Vicol, Nadejda A.
core +3 more sources
Clifford Algebras, Spinors and $Cl(8,8)$ Unification
, 2021 It is shown how the vector space $V_{8,8}$ arises from the Clifford algebra $Cl(1,3)$ of spacetime. The latter algebra describes fundamental objects such as strings and branes in terms of their $r$-volume degrees of freedom, $x^{ _1 _2 ... _r}$ $\equiv x^M$, $r=0,1,2,3$, that generalizethe concept of center of mass.
openaire +2 more sources
What can we Learn from Quantum Convolutional Neural Networks?
Advanced Quantum Technologies, Volume 8, Issue 7, July 2025.Quantum Convolutional Neural Networks have been long touted as one of the premium architectures for quantum machine learning (QML). But what exactly makes them so successful for tasks involving quantum data? This study unlocks some of these mysteries; particularly highlighting how quantum data embedding provides a basis for superior performance in ...
Chukwudubem Umeano +3 more
wiley +1 more source
Spin-harmonic structures and nilmanifolds [PDF]
, 2019 We introduce spin-harmonic structures, a class of geometric structures on Riemannian manifolds of low dimension which are defined by a harmonic unitary spinor.
Bazzoni, Giovanni +2 more
core +1 more source
On the Decomposition of Clifford Algebras of Arbitrary Bilinear Form
, 1999 Clifford algebras are naturally associated with quadratic forms. These algebras are Z_2-graded by construction. However, only a Z_n-gradation induced by a choice of a basis, or even better, by a Chevalley vector space isomorphism Cl(V) \bigwedge V and ...
A Crumeyrolle +46 more
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ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration
, 2008 In a previous paper we explicitly constructed a mapping that leads Dirac spinor fields to the dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields).
da Rocha, Roldao, da Silva, J. M. Hoff
core +1 more source
A characterization of some finite simple groups by their character codegrees
Mathematische Nachrichten, Volume 298, Issue 4, Page 1356-1369, April 2025.Abstract Let G$G$ be a finite group and let χ$\chi$ be a complex irreducible character of G$G$. The codegree of χ$\chi$ is defined by cod(χ)=|G:ker(χ)|/χ(1)$\textrm {cod}(\chi)=|G:\textrm {ker}(\chi)|/\chi (1)$, where ker(χ)$\textrm {ker}(\chi)$ is the kernel of χ$\chi$.
Hung P. Tong‐Viet
wiley +1 more source
Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source