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arXiv · 0801.1207

Adjamagbo Determinant and Serre conjecture for linear groups over Weyl algebras

Kossivi Adjamagbo
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Abstract

Thanks to the theory of determinants over an Ore domain, also called Adjamagbo determinant by the Russian school of non commutative algebra, we extend to any Weyl algebra over a field of characteristic zero Suslin theorem solving what Suslin himself called the $K_1$-analogue of the well-known Serre Conjecture and asserting that for any integer $n$ greater than 2, any $n$ by $n$ matrix with coefficients in any algebra of polynomials over a field and with determinant one is the product of elementary matrices with coefficients in this algebra

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BibTeXRIS

Kossivi Adjamagbo. 2008-01-08. Adjamagbo Determinant and Serre conjecture for linear groups over Weyl algebras. https://arxiv.org/abs/0801.1207

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