On Characterizing Nilpotent Lie Algebra by Their Multiplier, s(L)=6,7
Let L be an n -dimensional non-abelian nilpotent Lie algebra and s ( L ) = 1 2 ( n - 1 ) ( n - 2 ) + 1 - dim M ( L ) where M ( L ) is the Schur multiplier of a Lie algebra L . The structures of nilpotent Lie algebras L when s ( L ) ∈ { 0 , 1 , 2 , 3 , 4 , 5 } are determined. In this paper, we classi...
Gespeichert in:
| Veröffentlicht in: | Resultate der Mathematik 2022-04, Vol.77 (2), Article 82 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | Let
L
be an
n
-dimensional non-abelian nilpotent Lie algebra and
s
(
L
)
=
1
2
(
n
-
1
)
(
n
-
2
)
+
1
-
dim
M
(
L
)
where
M
(
L
)
is the Schur multiplier of a Lie algebra
L
. The structures of nilpotent Lie algebras
L
when
s
(
L
)
∈
{
0
,
1
,
2
,
3
,
4
,
5
}
are determined. In this paper, we classify all non-abelian nilpotent Lie algebras
L
when
s
(
L
)
=
6
,
7
. |
|---|---|
| ISSN: | 1422-6383 1420-9012 |
| DOI: | 10.1007/s00025-022-01616-5 |