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- W2904944295 abstract "Let R be a Dedekind domain, and let G be a simply connected Chevalley-Demazure group scheme of rank =>2. We prove that G(R[x_1,...,x_n])=G(R)E(R[x_1,...,x_n]) for any n=>1. This extends the corresponding results of A. Suslin and F. Grunewald, J. Mennicke, and L. Vaserstein for G=SL_n, Sp_2n. We also deduce some corollaries of the above result for regular rings R of higher dimension and discrete Hodge algebras over R." @default.
- W2904944295 created "2018-12-22" @default.
- W2904944295 creator A5027270481 @default.
- W2904944295 date "2018-12-11" @default.
- W2904944295 modified "2023-09-27" @default.
- W2904944295 title "Chevalley groups of polynomial rings over Dedekind domains" @default.
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