Locally semisimple and maximal subalgebras of the finitary Lie algebras <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">gl</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo>∞</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>, <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">sl</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo>∞</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>, <mml:math altimg="si3.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">so</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo>∞</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>, and <mml:math altimg="si4.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo>∞</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>-Reference-Cited by-同舟云学术

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Locally semisimple and maximal subalgebras of the finitary Lie algebras gl(∞), sl(∞), so(∞), and sp(∞)

Published:2009-09 Issue:6 Volume:322 Page:2069-2081
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Dimitrov Ivan,Penkov Ivan

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference15 articles.

1. Simple diagonal locally finite Lie algebras;Baranov;Proc. London Math. Soc. (3),1998

2. Diagonal locally finite Lie algebras and a version of Ado's theorem;Baranov;J. Algebra,1998

3. Complex finitary simple Lie algebras;Baranov;Arch. Math.,1998

4. Finitary simple Lie algebras;Baranov;J. Algebra,1999

5. Finitary Lie algebras;Baranov;J. Algebra,2002

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