شماره ركورد كنفرانس :
3934
عنوان مقاله :
On the dimension of the multiplier of n-Lie algebras
پديدآورندگان :
Saeedi Farshid saeedi@mshdiau.ac.ir Islamic Azad University; , Darabi Hamid darabi@iauesf.ac.ir Esfarayen BranchIslamic Azad University; , Akbarossadat Seyedeh Nafiseh n.akbarossadat@gmail.com Islamic Azad University Mashhad Branch;
كليدواژه :
n , Lie algebra , multiplier.
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
چكيده فارسي :
For an n-Lie algebra A of dimension d, we find the upper bound dimM(A)
d
n
, where M(A)
denotes the multiplier of A, and that the equality holds if and only if A is abelian. Finally, we give a
formula for dimension of the multiplier of the direct sum of two n-Lie algebras.
