L. Peresi

most citedStructure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions

9 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2014★ 9 cited

Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions

Murray Bremner, Sara Madariaga, Luiz A. Peresi

In part 1, we review the structure theory of $F S_{n}$ , the group algebra of the symmetric group $S_{n}$ over a field of characteristic 0. We define the images $ψ (E_{ij}^{λ})$ o…

math.RA2010★ 5 cited

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 $a (b c) = a (c b)$ , $(ba) a^{2} = (b a^{2}) a$ , and $(b, a^{2}, c) = 2 (b, a, c) a$ . These…

math.RA2010

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…