title: Plethystic algebras and vector symmetric functions.
abstract: An isomorphism is established between the plethystic Hopf algebra Pleth(Super[L]) and the algebra of vector symmetric functions. The Hall inner product of symmetric function theory is extended to the Hopf algebra Pleth(Super[L]).
authors.affiliation: Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
authors.forename: G C
authors.initials: GC
authors.lastname: Rota
authors.forename: J A
authors.initials: JA
authors.lastname: Stein