On dimension of the Schur multiplier of nilpotent Lie algebras

• Autorzy: Peyman Niroomand
• Języki publikacji: EN

Abstrakty

EN

Let L be an n-dimensional non-abelian nilpotent Lie algebra and $$ s(L) = \frac{1} {2}(n - 1)(n - 2) + 1 - \dim M(L) $$ where M(L) is the Schur multiplier of L. In [Niroomand P., Russo F., A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra (in press)] it has been shown that s(L) ≥ 0 and the structure of all nilpotent Lie algebras has been determined when s(L) = 0. In the present paper, we will characterize all finite dimensional nilpotent Lie algebras with s(L) = 1; 2.

Słowa kluczowe

EN

Schur multiplier; Nilpotent Lie algebras

Kategorie tematyczne

• 17B99: None of the above, but in this section
• 17B60: Lie (super)algebras associated with other structures (associative, Jordan, etc.)
• 17B30: Solvable, nilpotent (super)algebras

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 1
• Strony: 57-64

Daty

wydano

2011-02-01

online

2010-12-30

Twórcy

autor

Peyman Niroomand

• Damghan University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0079-3