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arXiv · 2211.04111

Generalised homotopy and commutativity principle

Ravi A. Rao·Sampat Sharma
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Abstract

In this paper, we study the action of special $n\times n $ linear (resp. symplectic) matrices which are homotopic to identity on the right invertible $n\times m$ matrices. We also prove that the commutator subgroup of $\rm{O}_{2n}(R[X])$ is two stably elementary orthogonal for a local ring $R$ with $\frac{1}{2}\in R$ and $n\geq 3.$

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Ravi A. Rao, Sampat Sharma. 2022-11-08. Generalised homotopy and commutativity principle. https://arxiv.org/abs/2211.04111

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