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Tr. Mat. Inst. Steklova, 2016, Volume 292, Pages 191–208 (Mi tm3692)  
This article is cited in 1 scientific paper (total in 1 paper)

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.

Funding Agency Grant Number
Russian Foundation for Basic Research 13-01-12420-офи_м2
14-01-00178a
Ministry of Education and Science of the Russian Federation НШ-2998.2014.1
This work was supported in part by the Russian Foundation for Basic Research (project nos. 13-01-12420-ofi_m2 and 14-01-00178a) and by a grant of the President of the Russian Federation (project no. NSh-2998.2014.1).


DOI: https://doi.org/10.1134/S037196851601012X

Full text: PDF file (286 kB)
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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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\bookinfo Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday
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\vol 292
\pages 191--208
\publ MAIK Nauka/Interperiodica
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    This publication is cited in the following articles:
    1. D. V. Osipov, “The Discrete Heisenberg Group and Its Automorphism Group”, Math. Notes, 98:1 (2015), 185–188  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    		• Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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