The Bloch-Okounkov correlation functions of classical type
| dc.creator | Taylor, David G. | |
| dc.creator | Wang, Weiqiang | |
| dc.date | 2006-09-01 | |
| dc.date | 2007-03-22 | |
| dc.date.accessioned | 2026-07-07T11:07:21Z | |
| dc.date.available | 2026-07-07T11:07:21Z | |
| dc.description | Bloch and Okounkov introduced an n-point correlation function on the infinite wedge space and found an elegant closed formula in terms of theta functions. This function has connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, etc, and it can also be interpreted as correlation functions on integrable gl_\infty-modules of level one. Such gl_\infty-correlation functions at higher levels were then calculated by Cheng and Wang. In this paper, generalizing the type A results, we formulate and determine the n-point correlation functions in the sense of Bloch-Okounkov on integrable modules over classical Lie subalgebras of gl_\infty of type B,C,D at arbitrary levels. As byproducts, we obtain new q-dimension formulas for integrable modules of type B,C,D and some fermionic type q-identities. | |
| dc.description | v2, very minor changes, Latex, 41 pages, to appear in Commun. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/math/0609036 | |
| dc.identifier | http://arxiv.org/abs/math/0609036 | |
| dc.identifier | Commun.Math.Phys.276:473-508,2007 | |
| dc.identifier | doi:10.1007/s00220-007-0344-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189817 | |
| dc.subject | Representation Theory | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Combinatorics | |
| dc.title | The Bloch-Okounkov correlation functions of classical type | |
| dc.type | text |