Publication
Title
Vanishing of the Kontsevich integrals of the wheels
Author
Abstract
We prove that the Kontsevich integrals (in the sense of the formality theorem) of all even wheels are equal to zero. These integrals appear in the approach to the Duflo formula via the formality theorem. The result means that for any finite-dimensional Lie algebra g, and for invariant polynomials f, g ∈ [S ·(g)]g one has f · g = f * g, where * is the Kontsevich star product, corresponding to the KirillovPoisson structure on g*. We deduce this theorem form the result contained in math.QA/0010321 on the deformation quantization with traces.
Language
English
Source (journal)
Letters in mathematical physics. - Dordrecht
Publication
Dordrecht : 2001
ISSN
0377-9017
Volume/pages
56:2(2001), p. 141-149
ISI
000169864900004
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 17.10.2014
Last edited 04.06.2017