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Fundamentalnaya i Prikladnaya Matematika, 1995, Volume 1, Issue 2, Pages 545–548
(Mi fpm71)
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This article is cited in 2 scientific papers (total in 2 papers)
Short communications
On the structure of the symplectic group over polynomial rings with regular coefficients
V. I. Kopeiko Kalmyckia State University
Abstract:
In this note we prove the following result. Let $A$ be a ring of the geometric type or $A=C\bigl[[T_1,\ldots,T_{m}]\bigr]$, where $C$ is a regular ring and $\dim C\leq1$. Then the group $\operatorname{Sp}_{2r}\left(A[X_1,\ldots,X_{n}]\right)$ ($r\geq2$) is generated by elementary symplectic matrices.
Received: 01.01.1995
Citation:
V. I. Kopeiko, “On the structure of the symplectic group over polynomial rings with regular coefficients”, Fundam. Prikl. Mat., 1:2 (1995), 545–548
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https://www.mathnet.ru/eng/fpm71 https://www.mathnet.ru/eng/fpm/v1/i2/p545
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