Combinatorial Formulas for Classical Lie Weight Systems on Arrow Diagrams

Simple item page
dc.creatorLeung, Louis
dc.date2008-12-12
dc.date.accessioned2026-07-07T12:12:24Z
dc.date.available2026-07-07T12:12:24Z
dc.descriptionIn 2002 Haviv gave a way of assigning Lie tensors to directed trivalent graphs. Weight systems on oriented chord idagrams modulo 6T can then be constructed from such tensors. In this paper we give explicit combinatorial formulas of weight systems using Manin triples constrcted from classical Lie algebras. We then compose these oriented weight systems with the averaging map to get weight systems on unoriented chord diagrams and show that they are the same as the ones obtained by Bar-Natan in 1991. In the last section we carry out calculations on certain examples.
dc.identifierhttps://arxiv.org/abs/0812.2342
dc.identifierhttp://arxiv.org/abs/0812.2342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210534
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleCombinatorial Formulas for Classical Lie Weight Systems on Arrow Diagrams
dc.typetext

Files

Collections

arXiv