Gc. Rota et Ja. Stein, PLETHYSTIC ALGEBRAS AND VECTOR SYMMETRICAL FUNCTIONS, Proceedings of the National Academy of Sciences of the United Statesof America, 91(26), 1994, pp. 13062-13066
An isomorphism is established between the plethystic Hopf algebra Plet
h(Super[L]) and the algebra of vector symmetric functions. The Hall in
ner product of symmetric function theory is extended to the Hopf algeb
ra Pleth(Super[L]).