13 research outputs found
Codes and shifted codes
The action of the Bernstein operators on Schur functions was given in terms
of codes in [CG] and extended to the analog in Schur Q-functions in [HJS]. We
define a new combinatorial model of extended codes and show that both of these
results follow from a natural combinatorial relation induced on codes. The new
algebraic structure provides a natural setting for Schur functions indexed by
compositions
A Frattini Theory for Leibniz Algebras
A Frattini theory for non-associative algebras was developed by Towers and
results for particular classes of algebras have appeared in various articles.
Especially plentiful are results on Lie algebras. It is the purpose of this
paper to extend some of the Lie algebra results to Leibniz algebras