The classification of modular Lie superalgebras of type M

The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements. Moreover, an intrinsic property is obtained and all the infinite-dimensional simple modular...

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Main Authors:	Ma Lili, Chen Liangyun
Format:	Article
Language:	English
Published:	De Gruyter 2015-03-01
Series:	Open Mathematics
Subjects:	modular lie superalgebra ad-nilpotent element filtration
Online Access:	https://doi.org/10.1515/math-2015-0025

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spelling	doaj-0fbd498342284dc5b01d8b8ae6c347202021-09-06T19:20:07ZengDe GruyterOpen Mathematics2391-54552015-03-0113110.1515/math-2015-0025math-2015-0025The classification of modular Lie superalgebras of type MMa Lili0Chen Liangyun1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China, and School of Science, Qiqihar University, Qiqihar 161006, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaThe natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements. Moreover, an intrinsic property is obtained and all the infinite-dimensional simple modular Lie superalgebras M are classified up to isomorphisms. As an application, a property of automorphisms of M is given.https://doi.org/10.1515/math-2015-0025modular lie superalgebraad-nilpotent elementfiltration
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ma Lili Chen Liangyun
spellingShingle	Ma Lili Chen Liangyun The classification of modular Lie superalgebras of type M Open Mathematics modular lie superalgebra ad-nilpotent element filtration
author_facet	Ma Lili Chen Liangyun
author_sort	Ma Lili
title	The classification of modular Lie superalgebras of type M
title_short	The classification of modular Lie superalgebras of type M
title_full	The classification of modular Lie superalgebras of type M
title_fullStr	The classification of modular Lie superalgebras of type M
title_full_unstemmed	The classification of modular Lie superalgebras of type M
title_sort	classification of modular lie superalgebras of type m
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2015-03-01
description	The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements. Moreover, an intrinsic property is obtained and all the infinite-dimensional simple modular Lie superalgebras M are classified up to isomorphisms. As an application, a property of automorphisms of M is given.
topic	modular lie superalgebra ad-nilpotent element filtration
url	https://doi.org/10.1515/math-2015-0025
work_keys_str_mv	AT malili theclassificationofmodularliesuperalgebrasoftypem AT chenliangyun theclassificationofmodularliesuperalgebrasoftypem AT malili classificationofmodularliesuperalgebrasoftypem AT chenliangyun classificationofmodularliesuperalgebrasoftypem
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The classification of modular Lie superalgebras of type M

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