Adjamagbo Determinant and Serre conjecture for linear groups over Weyl algebras
| dc.creator | Adjamagbo, Kossivi | |
| dc.date | 2008-01-08 | |
| dc.date.accessioned | 2026-07-07T08:53:16Z | |
| dc.date.available | 2026-07-07T08:53:16Z | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/0801.1207 | |
| dc.identifier | http://arxiv.org/abs/0801.1207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145558 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Rings and Algebras | |
| dc.title | Adjamagbo Determinant and Serre conjecture for linear groups over Weyl algebras | |
| dc.type | text |