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Mathematics of the USSR-Sbornik, 1972, Volume 17, Issue 3, Pages 357–372
DOI: https://doi.org/10.1070/SM1972v017n03ABEH001510
(Mi sm3173)
 

This article is cited in 1 scientific paper (total in 1 paper)

On some subspaces in representations of degree two matrix groups with coefficients from a locally compact disconnected field

M. E. Novodvorskii
References:
Abstract: The commutativity of certain Hecke algebras of subgroups of $\operatorname{PL}(2,F)$ containing the commutator subgroup is established (here $F$ is a discrete normed field with finite field of residues). Application of these results to representations of $p$-adic groups by automorphic forms on the upper complex halfplane allows one to distinguish subrepresentations belonging to the discrete series.
Bibliography: 8 titles.
Received: 24.03.1971
Bibliographic databases:
UDC: 519.46
MSC: Primary 22E50; Secondary 22E55
Language: English
Original paper language: Russian
Citation: M. E. Novodvorskii, “On some subspaces in representations of degree two matrix groups with coefficients from a locally compact disconnected field”, Math. USSR-Sb., 17:3 (1972), 357–372
Citation in format AMSBIB
\Bibitem{Nov72}
\by M.~E.~Novodvorskii
\paper On some subspaces in representations of degree two matrix groups with coefficients from a~locally compact disconnected field
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 3
\pages 357--372
\mathnet{http://mi.mathnet.ru//eng/sm3173}
\crossref{https://doi.org/10.1070/SM1972v017n03ABEH001510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=308324}
\zmath{https://zbmath.org/?q=an:0238.20054}
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  • https://doi.org/10.1070/SM1972v017n03ABEH001510
  • https://www.mathnet.ru/eng/sm/v130/i3/p360
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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