A stably elementary homotopy

Rao, Ravi

doi:10.1090/S0002-9939-09-09949-3

A stably elementary homotopy

Author: Ravi A. Rao
Journal: Proc. Amer. Math. Soc. 137 (2009), 3637-3645
MSC (2000): Primary 13C10, 19D45, 19G12, 55Q55
DOI: https://doi.org/10.1090/S0002-9939-09-09949-3
Published electronically: June 16, 2009
MathSciNet review: 2529870
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Abstract: If is an affine algebra of dimension over a perfect C field and $\sigma \in SL_{d + 1}(R)$ is a stably elementary matrix, we show that there is a stably elementary matrix $\sigma(X) \in SL_{d + 1}(R[X])$ with $\sigma(1) = \sigma$ and $\sigma(0) = I_{d + 1}$ .

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