5 citations · 6 across the 7 of their papers we have counts for
7 papers
Enveloping algebras of the nilpotent Malcev algebra of dimension five
Murray R. Bremner, Hamid Usefi
Perez-Izquierdo and Shestakov recently extended the PBW theorem to Malcev algebras. It follows from their construction that for any Malcev algebra over a field of characteristi…
Special identities for quasi-Jordan algebras
Murray R. Bremner, Luiz A. Peresi
Semispecial quasi-Jordan algebras (also called Jordan dialgebras) are defined by the polynomial identities , , and . These…
Enveloping algebras of Malcev algebras
Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi +2
We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit s…
On the definition of quasi-Jordan algebra
Murray R. Bremner
Velasquez and Felipe recently introduced quasi-Jordan algebras based on the product in an associative dialgebra with oper…
How to compute the Wedderburn decomposition of a finite-dimensional associative algebra
Murray R. Bremner
This is a survey paper on algorithms that have been developed during the last 25 years for the explicit computation of the structure of an associative algebra of finite dimension o…
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 . The multiplicity…