Matrix representations of linear transformations on bicomplex space
Representation Theory
2023-12-04 v1 Complex Variables
Abstract
An algebraic investigation on bicomplex numbers is carried out here. Particularly matrices and linear maps defined on them are discussed. A new kind of cartesian product, referred to as an idempotent product, is introduced and studied. The elements of this space are linear maps of a special form. These linear maps are examined with respect to usual notions like kernel, range, and singularity. Their matrix representation is also discussed.
Cite
@article{arxiv.2312.00361,
title = {Matrix representations of linear transformations on bicomplex space},
author = {Anjali and Fahed Zulfeqarr and Akhil Prakash and Prabhat Kumar},
journal= {arXiv preprint arXiv:2312.00361},
year = {2023}
}