On the Odd Unitary Analogue of Gram-Schmidt Process

Ambily A. A.; Aparna Pradeep V. K

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arXiv · 2505.16295

On the Odd Unitary Analogue of Gram-Schmidt Process

Ambily A. A.·Aparna Pradeep V. K

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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.

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Ambily A. A., Aparna Pradeep V. K. 2025-05-22. On the Odd Unitary Analogue of Gram-Schmidt Process. https://arxiv.org/abs/2505.16295

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