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Invariant subrings of induced rings
B. Kh. Kirshtein
Abstract:
Let $\Phi(G_{k_\mathfrak p},P_{\Theta,k_\mathfrak p},\varphi,K)$ be the ring induced by the homorphism $\varphi\colon P_{\Theta,k_\mathfrak p}\to \operatorname{Aut}K$, where $G_{k_\mathfrak p}$ is the Chevalley group over the field $k_\mathfrak p$ of $\mathfrak p$-adic numbers and $P_{\Theta,k_\mathfrak p}$ is a parabolic sybgroup. In this note we characterize a class of subrings of this ring which are invariant relative to translations by elements of the group $G_{k_\mathfrak p}$.
Bibliography: 4 titles.
Received: 11.02.1971
Citation:
B. Kh. Kirshtein, “Invariant subrings of induced rings”, Mat. Sb. (N.S.), 87(129):3 (1972), 369–376; Math. USSR-Sb., 16:3 (1972), 381–388
Linking options:
https://www.mathnet.ru/eng/sm3130https://doi.org/10.1070/SM1972v016n03ABEH001432 https://www.mathnet.ru/eng/sm/v129/i3/p369
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Abstract page: | 217 | Russian version PDF: | 59 | English version PDF: | 8 | References: | 38 |
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