100 citations · 209 across the 14 of their papers we have counts for
4 papers · 1 filter
Clifford algebra and the projective model of Elliptic spaces
Andrey Sokolov
I apply the algebraic framework developed in arXiv:1101.4542 to study geometry of elliptic spaces in 1, 2, and 3 dimensions. The background material on projectivised Clifford algeb…
Clifford algebra and the projective model of Minkowski (pseudo-Euclidean) spaces
Andrey Sokolov
I apply the algebraic framework introduced in arXiv:1101.4542v3[math.MG] to Minkowski (pseudo-Euclidean) spaces in 2, 3, and 4 dimensions. The exposition follows the template estab…
Polynomial Supersymmetry for Matrix Hamiltonians
Andrey V. Sokolov
We study intertwining relations for matrix one-dimensional, in general, non-Hermitian Hamiltonians by matrix differential operators of arbitrary order. It is established that for a…
Clifford algebra and the projective model of homogeneous metric spaces: Foundations
Andrey Sokolov
This paper is to serve as a key to the projective (homogeneous) model developed by Charles Gunn (arXiv:1101.4542 [math.MG]). The goal is to explain the underlying concepts in a sim…