1999/07/31 by Weiqiang Wang
Mathematics · Physics and Astronomy · #math.QA #hep-th #math-ph #math.KT #math.MP
published as Duke Math. J. 103 (2000) 1--23 · 23 pages, some reorganizations and improvement of presentations, and other minor changes, to appear in Duke Math. J
arxiv created 1999/12/07 · arxiv updated 2009/11/30
Given a finite group G and a G-space X, we show that a direct sum FG (X) = \bigoplusn ≥ 0KGn (Xn) \bigotimes \C admits a natural graded Hopf algebra and λ-ring structure, where Gn denotes the wreath product G ∼ Sn. FG (X) is shown to be isomorphic to a certain supersymmetric product in terms of KG(X)\bigotimes \C as a graded algebra. We further prove that FG (X) is isomorphic to the Fock space of an infinite dimensional Heisenberg (super)algebra. As one of several applications, we compute the orbifold Euler characteristic e(Xn, Gn).