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Tr. Mat. Inst. Steklova, 2016, Volume 292, Pages 191–208
(Mi tm3692)
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This article is cited in 3 scientific papers (total in 3 papers)
Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields
D. V. Osipovab, A. N. Parshinb
a National University of Science and Technology «MISIS», Moscow, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
We study a natural action of the Heisenberg group of integer unipotent matrices of the third order on the distribution space of a two-dimensional local field for a flag on a two-dimensional scheme.
DOI:
https://doi.org/10.1134/S037196851601012X
 Full text:
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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 292, 185–201
Bibliographic databases:
    
ArXiv:
1510.02423
UDC:
512.547.4+511.687
Received: September 24, 2015
Citation:
D. V. Osipov, A. N. Parshin, “Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields”, Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Tr. Mat. Inst. Steklova, 292, MAIK Nauka/Interperiodica, Moscow, 2016, 191–208; Proc. Steklov Inst. Math., 292 (2016), 185–201
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/tm3692https://doi.org/10.1134/S037196851601012X http://mi.mathnet.ru/eng/tm/v292/p191
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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D. V. Osipov, “The Discrete Heisenberg Group and Its Automorphism Group”, Math. Notes, 98:1 (2015), 185–188
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A. N. Parshin, “The Mellin Transform and the Plancherel Theorem for the Discrete Heisenberg Group”, Proc. Steklov Inst. Math., 307 (2019), 174–192
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D. V. Osipov, A. N. Parshin, “Harmonic analysis on the rank-$2$ value group of a two-dimensional local field”, Sb. Math., 211:1 (2020), 115–160
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