Pseudo-metric 2-step nilpotent Lie algebras
نویسندگان
چکیده
منابع مشابه
Nilpotent metric Lie algebras of small dimension
In [KO2] we developed a general classification scheme for metric Lie algebras, i.e. for finite-dimensional Lie algebras equipped with a non-degenerate invariant inner product. Here we determine all nilpotent Lie algebras l with dim l = 2 which are used in this scheme. Furthermore, we classify all nilpotent metric Lie algebras of dimension at most 10.
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In this note, we consider degenerations between complex 2-step nilpotent Lie algebras of dimension 7 within the variety N 2 7 . This allows us to obtain the rigid algebras in N 2 7 , whose closures give the irreducible components of the variety.
متن کاملSome properties of nilpotent Lie algebras
In this article, using the definitions of central series and nilpotency in the Lie algebras, we give some results similar to the works of Hulse and Lennox in 1976 and Hekster in 1986. Finally we will prove that every non trivial ideal of a nilpotent Lie algebra nontrivially intersects with the centre of Lie algebra, which is similar to Philip Hall's result in the group theory.
متن کاملAlmost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras
We study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with.
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ژورنال
عنوان ژورنال: Advances in Geometry
سال: 2018
ISSN: 1615-7168,1615-715X
DOI: 10.1515/advgeom-2017-0051