The Linear algebra in the quaternionic pluripotential theory
Complex Variables
2019-01-23 v1
Abstract
We clarify the linear algebra used in the quaternionic pluripotential theory so that proofs of several results there can be greatly simplified. In particular, we characterize and normalize real -forms with respect to the quaternionic structure, and show that the Moore determinant of a quaternionic hyperhermitian matrix is the coefficient of the exterior product of the associated real -form. As a corollary, the quaternionic Monge-Amp\`{e}re operator is the coefficient of the exterior product of the Baston operator.
Cite
@article{arxiv.1805.07759,
title = {The Linear algebra in the quaternionic pluripotential theory},
author = {Wei Wang},
journal= {arXiv preprint arXiv:1805.07759},
year = {2019}
}