Hader A. Elgendy

collaborators

2 papers

math.RA2010

Alternating quaternary algebra structures on irreducible representations of sl(2,C)

Murray R. Bremner, Hader A. elgendy

We determine the multiplicity of the irreducible representation V(n) of the simple Lie algebra sl(2,C) as a direct summand of its fourth exterior power $Λ^{4} V (n)$ . The multiplicity…

math.RA2010

Universal associative envelopes of (n+1)-dimensional n-Lie algebras

Murray R. Bremner, Hader A. Elgendy

For n even, we prove Pozhidaev's conjecture on the existence of associative enveloping algebras for simple n-Lie algebras. More generally, for n even and any (n+1)-dimensional n-Li…