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arXiv · 2506.10360

Horrocks theorem for odd orthogonal groups

Ambily A A·Sugilesh H
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Abstract

We prove Horrocks' theorem for the odd elementary orthogonal group, which gives a decomposition of an orthogonal matrix with entries from a polynomial ring $R[X]$, over a commutative ring $R$ in which 2 is invertible, as a product of an orthogonal matrix with entries in $R$ and an elementary orthogonal matrix with entries from $R[X]$.

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Ambily A A, Sugilesh H. 2025-06-12. Horrocks theorem for odd orthogonal groups. https://arxiv.org/abs/2506.10360

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