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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	170-172
Number of pages	3
Journal	Moscow University Mathematics Bulletin
Volume	67
Issue number	4
DOIs	https://doi.org/10.3103/S0027132212040067
Publication status	Published - 1 Jul 2012
Externally published	Yes

Access to Document

10.3103/S0027132212040067

Cite this

@article{74851ed2092e4826b6c5e7869e84e6d0,

title = "Paradigm of Max-Factor and finite-dimensional representation of Lie algebras",

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.\}",

year = "2012",

month = jul,

day = "1",

doi = "10.3103/S0027132212040067",

language = "English",

volume = "67",

pages = "170--172",

journal = "Moscow University Mathematics Bulletin",

issn = "0027-1322",

publisher = "Pleiades Publishing",

number = "4",

}

TY - JOUR

T1 - Paradigm of Max-Factor and finite-dimensional representation of Lie algebras

AU - Razmyslov, Yu P.

AU - Pogudin, G. A.

PY - 2012/7/1

Y1 - 2012/7/1

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.

U2 - 10.3103/S0027132212040067

DO - 10.3103/S0027132212040067

M3 - Article

AN - SCOPUS:84866177005

SN - 0027-1322

VL - 67

SP - 170

EP - 172

JO - Moscow University Mathematics Bulletin

JF - Moscow University Mathematics Bulletin

IS - 4

ER -

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

Abstract

Access to Document

Fingerprint

Cite this