Prehomogeneous affine representations and flat pseudo-Riemannian manifolds

O Baues - arXiv preprint arXiv:0809.0824, 2008 - arxiv.org
The theory of flat Pseudo-Riemannian manifolds and flat affine manifolds is closely
connected to the topic of prehomogeneous affine representations of Lie groups. In this …

[HTML][HTML] Z2-cohomology and spectral properties of flat manifolds of diagonal type

S Console, RJ Miatello, JP Rossetti - Journal of Geometry and Physics, 2010 - Elsevier
We study the cohomology groups with Z2-coefficients for compact flat Riemannian manifolds
of diagonal type MΓ= Γ∖ Rn by explicit computation of the differentials in the Lyndon …

New identities for binary Krawtchouk polynomials, binomial coefficients and Catalan numbers

RA Podestá - arXiv preprint arXiv:1603.09156, 2016 - arxiv.org
We obtain new combinatorial identities for integral values of binary Krawtchouk polynomials
$ K^{2m} _p (x) $, $0\le p\le 2m $, by computing the characters of the $ p $-exterior …

Holomorphic Path Integrals in Tangent Space for Flat Manifolds

G Capobianco, W Reartes - 2020 - projecteuclid.org
Here we study the quantum evolution in a flat Riemannian manifold. The holomorphic
functions are defined on the cotangent bundle of this manifold. We construct Hilbert spaces …