Logarithmic and complex constant term identities

Title: Logarithmic and complex constant term identities
Creator: Chappell, Tom; Lascoux, Alain; Warnaar, S. Ole; Zudilin, W.
Relation: Computational and Analytical Mathematics p. 219-250
Relation: Springer Proceedings in Mathematics & Statistics Volume 50
Publisher Link: http://dx.doi.org/10.1007/978-1-4614-7621-4_11
Publisher: Springer
Resource Type: book chapter
Date: 2013
Description: In recent work on the representation theory of vertex algebras related to the Virasoro minimal models M(2, p), Adamović and Milas discovered logarithmic analogues of (special cases of) the famous Dyson and Morris constant term identities. In this paper we show how the identities of Adamović and Milas arise naturally by differentiating as-yet-conjectural complex analogues of the constant term identities of Dyson and Morris. We also discuss the existence of complex and logarithmic constant term identities for arbitrary root systems, and in particular prove such identities for the root system G2
Subject: constant term identities; perfect matchings; root systems; pfaffians
Identifier: http://hdl.handle.net/1959.13/1039847
Identifier: uon:13710
Identifier: ISBN:9781461476207
Rights: The original publication is available at www.springerlink.com
Language: eng
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