The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra

Autor: Karl Hallowell, Andrew Waldron

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 089 (2007)

Lichnerowicz's algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex tangent vector. This relation is based upon quantizing the classical evolution e

Externí odkaz: https://doaj.org/article/c736c737dfb948fdbe2316be9e0046f0

Constant Curvature Algebras and Higher Spin Action Generating Functions

Autor: Karl Hallowell, Andrew Waldron

Publikováno v: Hallowell, Karl; & Waldron, Andrew. (2005). Constant Curvature Algebras and Higher Spin Action Generating Functions. Nucl.Phys. B724 (2005) 453-486. doi: 10.1016/j.nuclphysb.2005.06.021. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/3md7t916

The algebra of differential geometry operations on symmetric tensors over constant curvature manifolds forms a novel deformation of the sl(2,R) [semidirect product] R^2 Lie algebra. We present a simple calculus for calculations in its universal envel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d67b47d5f540a1d8fab42e5157a9375