Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 4, Pages 48–50 (Mi vmumm513)  
This article is cited in 1 scientific paper (total in 1 paper)

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Paradigm of max-factor and finite-dimensional representation of Lie algebras

Yu. P. Razmyslov, G. A. Pogudin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: An isomorphism between formal power series algebra and dual space to universal enveloping algebra is presented. The image of maximal locally finite dimensional submodule under it lies in preimage of rational functions algebra under Borel transform.
Key words: derivation, divided power series algebra, universal enveloping algebra, maximal locally finite dimensional submodule, Lie algebra, Borel transform.
Received: 01.12.2010
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 4, Pages 170–172
DOI: https://doi.org/10.3103/S0027132212040067
Bibliographic databases:
Document Type: Article
UDC: 512.55.342+512.55.35
Language: Russian
Citation: Yu. P. Razmyslov, G. A. Pogudin, “Paradigm of max-factor and finite-dimensional representation of Lie algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 4, 48–50; Moscow University Mathematics Bulletin, 67:4 (2012), 170–172
Citation in format AMSBIB
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\by Yu.~P.~Razmyslov, G.~A.~Pogudin
\paper Paradigm of max-factor and finite-dimensional representation of Lie algebras
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 4
\pages 48--50
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 4
\pages 170--172
\crossref{https://doi.org/10.3103/S0027132212040067}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866177005}
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