On the Odd Unitary Analogue of Gram-Schmidt Process
Group Theory
2025-05-23 v1 K-Theory and Homology
Abstract
In 1976, L.N. Vaserstein used a construction analogous to the Gram-Schmidt orthogonalisation, for obtaining a set of symplectic matrices from a set of elementary matrices. We have a similar construction for Petrov's odd unitary group. Here, we prove that the elementary matrices in the odd unitary analogue of the Gram-Schmidt process form a set of generators for the elementary linear group.
Keywords
Cite
@article{arxiv.2505.16295,
title = {On the Odd Unitary Analogue of Gram-Schmidt Process},
author = {Ambily A. A. and Aparna Pradeep V. K},
journal= {arXiv preprint arXiv:2505.16295},
year = {2025}
}
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8 pages