Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mathematics of the USSR-Sbornik, 1972, Volume 16, Issue 3, Pages 381–388
DOI: https://doi.org/10.1070/SM1972v016n03ABEH001432
(Mi sm3130)
 

Invariant subrings of induced rings

B. Kh. Kirshtein
References:
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
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 87(129), Number 3, Pages 369–376
Bibliographic databases:
UDC: 519.46
MSC: Primary 17B20; Secondary 20G25
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
\Bibitem{Kir72}
\by B.~Kh.~Kirshtein
\paper Invariant subrings of induced rings
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 87(129)
\issue 3
\pages 369--376
\mathnet{http://mi.mathnet.ru/sm3130}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=299609}
\zmath{https://zbmath.org/?q=an:0269.20034|0276.20040}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 16
\issue 3
\pages 381--388
\crossref{https://doi.org/10.1070/SM1972v016n03ABEH001432}
Linking options:
  • https://www.mathnet.ru/eng/sm3130
  • https://doi.org/10.1070/SM1972v016n03ABEH001432
  • https://www.mathnet.ru/eng/sm/v129/i3/p369
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:217
    Russian version PDF:59
    English version PDF:8
    References:38
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024