Pascal algebra of matrices and Pascal map on jet bundles
Differential Geometry
2022-08-24 v3
Abstract
We identify and study a matrix algebra consisting of Pascal-type matrices. The generator of the matrix algebra is shown to well define a canonical bundle map, called the Pascal map on jet bundles, and we use it to give an intrinsic definition of point-wise contact between Hermitian vector bundles in terms of unitary equivalence of the Pascal maps.
Cite
@article{arxiv.2111.14570,
title = {Pascal algebra of matrices and Pascal map on jet bundles},
author = {Li Chen},
journal= {arXiv preprint arXiv:2111.14570},
year = {2022}
}