Volume 6, issue 2 (2002)

Download this article
For printing
Recent Issues

Volume 20
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Subscriptions
Author Index
To Appear
Contacts
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Caractères sur l'algèbre de diagrammes trivalents Lambda

Bertrand Patureau-Mirand

Geometry & Topology 6 (2002) 563–607

arXiv: math.GT/0107137

Abstract

The theory of Vassiliev invariants deals with many modules of diagrams on which the algebra Λ defined by Pierre Vogel acts. By specifying a quadratic simple Lie superalgebra, one obtains a character on Λ. We show the coherence of these characters by building a map of graded algebras beetwen Λ and a quotient of a ring of polynomials in three variables; all the characters induced by simple Lie superalgebras factor through this map. In particular, we show that the characters for the Lie superalgebra f(4) with dimension 40 and for sl3 are the same.

Keywords
finite type invariants, weight system, representation theory
Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57M25 17B10
References
Forward citations
Publication
Received: 4 July 2001
Accepted: 28 October 2002
Published: 1 December 2002
Proposed: Vaughan Jones
Seconded: Robion Kirby, Joan Birman
Authors
Bertrand Patureau-Mirand
Centre de Recherche
LMAM Université de Bretagne-Sud
Campus de Tohannic
BP 573
F-56017 Vannes
France
http://www.univ-ubs.fr/lmam/patureau/