We define by means of the affine Lie algebras a(infinity) and b(infinity) a linear operator on the algebra Sym of symmetric functions sending Schur S-functions to Schur P-functions. This operator is then expressed as a differential operator of infinite order, using an involution of Sym related to <(sl)over cap>(2).
机构:
Carleton Univ, Sch Math & Stat, 1125 Colonel By Dr, Ottawa, ON K1S 5B6, CanadaCarleton Univ, Sch Math & Stat, 1125 Colonel By Dr, Ottawa, ON K1S 5B6, Canada
Billig, Yuly
Futorny, Vyacheslav
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, BrazilCarleton Univ, Sch Math & Stat, 1125 Colonel By Dr, Ottawa, ON K1S 5B6, Canada