Horrocks theorem for odd orthogonal groups
K-Theory and Homology
2025-06-13 v1
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 , over a commutative ring in which 2 is invertible, as a product of an orthogonal matrix with entries in and an elementary orthogonal matrix with entries from .
Cite
@article{arxiv.2506.10360,
title = {Horrocks theorem for odd orthogonal groups},
author = {Ambily A A and Sugilesh H},
journal= {arXiv preprint arXiv:2506.10360},
year = {2025}
}