On the Odd Unitary Analogue of Gram-Schmidt Process

Key Points

• This work aims to establish the relationship between elementary matrices and the elementary linear group in the context of the odd unitary analogue of the Gram-Schmidt process.
• Constructed a framework akin to the Gram-Schmidt orthogonalisation for odd unitary groups.
• Analyzed the properties of elementary matrices within this context.
• Demonstrated the generation of the elementary linear group using these matrices.
• Proved that the elementary matrices form a generating set for the elementary linear group.
• Showed parallels between standard unitary and odd unitary constructions.