Unitarization: Constructing Special Unitary Matrices by Generalized Cross Products and Unitary Left Multiplication
Year: 2026
Type: article
Abstract: We define unitarization, the construction of special unitary matrices from general complex matrices, using generalized cross products and quaternion products in place of the Gram–Schmidt process. We introduce unitary left multiplication, whose generators span 𝔰𝔭(2) ≅ 𝔰𝔬(5), obtain a QR decomposition in SU(4), and show that SU(4), unlike SO(4), has no isoclinic decomposition.
Author: Lim, Sung-tae
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224020978