Results 81 to 90 of about 596 (183)

Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find all non-trivial deformations of C(
Ian M. Musson, Georges Pinczon, Rosane Ushirobira   +2 more
doaj   +1 more source

A unified approach to spinor duals via Clifford algebras and $G_\Omega$ groups

Trends in Computational and Applied Mathematics
Recent developments in the construction of generalized Dirac duals have revealed, within the structure of the Clifford algebra $\mathbb{C}\otimes\mathcal{C}\ell_{1,3},$ the existence of distinct algebraic formulations of spinors duals with potential ...
R. T. Cavalcanti, J.M. Hoff da Silva
doaj   +1 more source

Partially-massless higher spin algebras in four dimensions

Journal of High Energy Physics
We propose a realisation of partially-massless higher spin algebras in four dimensions in terms of bosonic and fermionic oscillators, using Howe duality between sp(4, ℝ) ≅ so(2, 3) and osp(1|2(ℓ − 1), ℝ).
Thomas Basile, Shailesh Dhasmana
doaj   +1 more source

A note on the wedge reversion antisymmetry operation and 51 types of physical quantities in arbitrary dimensions. [PDF]

Acta Crystallogr A Found Adv, 2023
Fabrykiewicz P.
europepmc   +1 more source

On Clifford Algebras

Indagationes Mathematicae (Proceedings), 1966
openaire   +2 more sources

Geometric algebra generation of molecular surfaces. [PDF]

J R Soc Interface, 2022
Alfarraj A, Wei GW, Wei GW.
europepmc   +1 more source

Robustness of Topological Phases on Aperiodic Lattices. [PDF]

Math Phys Anal Geom
Li Y.
europepmc   +1 more source

Quadratic Motion Polynomials with Irregular Factorizations. [PDF]

Adv Appl Clifford Algebr
Thimm DA, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +1 more source

The Study Variety of Conformal Kinematics. [PDF]

Adv Appl Clifford Algebr, 2022
Kalkan B, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +1 more source

Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]

MethodsX
Devadas RM, Hiremani V, Preethi, T S, R S, Gujjar P.   +5 more
europepmc   +1 more source