Results 41 to 50 of about 249 (143)
ℤ2-gradings Of Clifford Algebras And Multivector Structures
, 2015 Let script C signℓ(V, g) be the real Clifford algebra associated with the real vector space V, endowed with a nondegenerate metric g. In this paper, we study the class of ℤ2-gradings of script C signℓ(V, g) which are somehow compatible with the ...
Miralles, D +5 more
core +1 more source
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
Geometrical aspects of spinor and twistor analysis [PDF]
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
core
On Complex Representations of Clifford Algebra
, 2019 We show that complex representations of Clifford algebra can always be reduced either to a real or to a quaternionic algebra depending on signature of complex space thus showing that spinors are unavoidably either real Majorana spinors or quaternionic ...
Budinich, Marco
core +1 more source
Clifford Algebras and Spinors for Arbitrary Braids
, 1994 8 pages (AMS-LaTeX)
Durdevic, Mico, Oziewicz, Zbigniew
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
Pure spinors and a construction of the $E_*$-Lie algebras
, 2017 International audienceLet $(V,g)$ be a $2n$-dimensional hyperbolic space and $C(V,g)$ its Clifford algebra. $C(V,g)$ has a $\mathbb Z$-grading, $C^k $, and an algebra isomorphism $C(V,g)\cong End(S)$, $S$ the space of spinors. \'E.
Slupinski, Marcus J., Stanton, Robert,
core +1 more source
Clifford algebras obtained by twisting of group algebras
, 2002 We investigate the construction and properties of Clifford algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of Z2n by a cocycle.
Majid, Shahn, Albuquerque, Helena
core +1 more source
Algebraic And Dirac-hestenes Spinors And Spinor Fields [PDF]
, 2015 Almost all presentations of Dirac theory in first or second quantization in physics (and mathematics) textbooks make use of covariant Dirac spinor fields. An exception is the presentation of that theory (first quantization) offered originally by Hestenes
Rodrigues Jr. W.A.
core +1 more source
Could Elko Spinor Fields Induce VSR Symmetry in the DKP (Meson) Algebra?
, 2017 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CAPES: 10942/13-0CNPq: 303027/2012-6CNPq: 308629/2012-6CNPq: 445385/2014-6CNPq: 473326/2013-2It is shown that the meson
Hoff da Silva, J. M. +3 more
core +1 more source