Equivariant K-theory, wreath products, and Heisenberg algebra
| dc.creator | Wang, Weiqiang | |
| dc.date | 1999-07-23 | |
| dc.date | 1999-12-07 | |
| dc.date.accessioned | 2026-07-07T05:30:01Z | |
| dc.date.available | 2026-07-07T05:30:01Z | |
| dc.description | Given a finite group G and a G-space X, we show that a direct sum $F_G (X) = \bigoplus_{n \geq 0}K_{G_n} (X^n) \bigotimes \C$ admits a natural graded Hopf algebra and $λ$-ring structure, where $G_n$ denotes the wreath product $G \sim S_n$. $F_G (X)$ is shown to be isomorphic to a certain supersymmetric product in terms of $K_G(X)\bigotimes \C$ as a graded algebra. We further prove that $F_G (X)$ is isomorphic to the Fock space of an infinite dimensional Heisenberg (super)algebra. As one of several applications, we compute the orbifold Euler characteristic $e(X^n, G_n)$. | |
| dc.description | 23 pages, some reorganizations and improvement of presentations, and other minor changes, to appear in Duke Math. J | |
| dc.identifier | https://arxiv.org/abs/math/9907151 | |
| dc.identifier | http://arxiv.org/abs/math/9907151 | |
| dc.identifier | Duke Math. J. 103 (2000) 1--23 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78866 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | K-Theory and Homology | |
| dc.title | Equivariant K-theory, wreath products, and Heisenberg algebra | |
| dc.type | text |