Paradigm of Max-Factor and finite-dimensional representation of Lie algebras

Yu P. Razmyslov; G. A. Pogudin

doi:10.3103/S0027132212040067

Paradigm of Max-Factor and finite-dimensional representation of Lie algebras

Yu P. Razmyslov
, G. A. Pogudin

Moscow State University

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Résumé

An isomorphism between the algebra of formal power series and the dual space to the universal enveloping Lie algebra is constructed. This isomorphism maps the maximal locally finite-dimensional submodule to the preimage of the algebra of rational functions under the Borel transform.

langue originale	Anglais
Pages (de - à)	170-172
Nombre de pages	3
journal	Moscow University Mathematics Bulletin
Volume	67
Numéro de publication	4
Les DOIs	https://doi.org/10.3103/S0027132212040067
état	Publié - 1 juil. 2012
Modification externe	Oui

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10.3103/S0027132212040067

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abstract = "An isomorphism between the algebra of formal power series and the dual space to the universal enveloping Lie algebra is constructed. This isomorphism maps the maximal locally finite-dimensional submodule to the preimage of the algebra of rational functions under the Borel transform.",

author = "Razmyslov, \{Yu P.\} and Pogudin, \{G. A.\}",

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AU - Pogudin, G. A.

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N2 - An isomorphism between the algebra of formal power series and the dual space to the universal enveloping Lie algebra is constructed. This isomorphism maps the maximal locally finite-dimensional submodule to the preimage of the algebra of rational functions under the Borel transform.

AB - An isomorphism between the algebra of formal power series and the dual space to the universal enveloping Lie algebra is constructed. This isomorphism maps the maximal locally finite-dimensional submodule to the preimage of the algebra of rational functions under the Borel transform.

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U2 - 10.3103/S0027132212040067

DO - 10.3103/S0027132212040067

M3 - Article

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SN - 0027-1322

VL - 67

SP - 170

EP - 172

JO - Moscow University Mathematics Bulletin

JF - Moscow University Mathematics Bulletin

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Paradigm of Max-Factor and finite-dimensional representation of Lie algebras

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