Results 11 to 20 of about 41 (41)
Nilpotent lie algebras having the Schur multiplier of maximum dimension
, 2021 Let L be an n-dimensional nilpotent Lie algebra of nilpotency class c with the derived subalgebra of dimension m. Recently, Rai proved that the dimension of Schur multiplier of L is bounded by .
Niroomand, Peyman, Shamsaki, Afsaneh
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Characterizing Lie Algebra Structure via the Commutativity Degree
Journal of Mathematics, Volume 2026, Issue 1, 2026.The aim of this paper is to determine the possible values of the commutativity degree of Lie algebras. We define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them. Moreover, we prove the existence of a family of Lie algebras such that the asymptotic commutativity degree is equal to 1/qk ...
Afsaneh Shamsaki +3 more
wiley +1 more source
Outer endomorphisms of free metabelian Lie algebras [PDF]
, 2011 2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Fm be the free metabelian Lie algebra of rank m over a field K of characteristic 0. We consider the semigroup IE(Fm) of the endomorphisms of Fm which are identical modulo the commutator ...
Findik, Sehmus
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Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras [PDF]
, 2010 2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0.
Fιndιk, Şehmus
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The Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0 [PDF]
, 2003 2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras 3N determined by the identity x(y(zt)) ≡ 0.
Abanina, L., Mishchenko, S.
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Outer Automorphisms of Lie Algebras related with Generic 2×2 Matrices [PDF]
, 2012 2010 Mathematics Subject Classification: 17B01, 17B30, 17B40, 16R30.Let Fm = Fm(var(sl2(K))) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl2(K) over a field K of characteristic 0.
Fındık, Şehmus
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On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
, 2005 . We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same.
Michael Roitman Communicated, E Zelmanov
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Some properties of c-covers of a pair of Lie algebras
, 2019 In [H. Safa and H. Arabyani, On c-nilpotent multiplier and c-covers of a pair of Lie algebras, Commun. Algebra 45(10) (2017), 4429{4434], we characterized the structure of the c-nilpotent multiplier of a pair of Lie algebras in terms of its c-covering ...
Safa, Hesam, Arabyani, Homayoon
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Cardiovascular autonomic function tests in an African population. [PDF]
BMC Endocr Disord, 2008 Torsvik M +5 more
europepmc +1 more source
On dimension of the Schur multiplier of nilpotent Lie algebras
Open Mathematics, 2011 Niroomand Peyman
doaj +1 more source