Graphical Calculus on Representations of Quantum Lie Algebras

Simple item page
dc.creatorKim, Dongseok
dc.date2003-10-10
dc.date.accessioned2026-07-07T06:30:01Z
dc.date.available2026-07-07T06:30:01Z
dc.descriptionWe develop graphical calculation methods. Jones-Wenzl projectors for U_q(sl(2,C)) are very powerful tools to find not only invariants of links but also invariants of 3-manifolds. We find single clasp expansions of generalized Jones-Wenzl projectors for simple Lie algebras of rank 2. Trihedron coefficients of the representation theory for U_q(sl(2,C)) has significant meaning and it is called 3j symbols. Using single clasp expansions for U_q(sl(3,C)), we find some trihedron coefficients of the representation theory of U_q(sl(3,C)). We study representation theory for U_q(sl(4,C)). We conjecture a complete set of relations for U_q(sl(4,C)).
dc.descriptionDissertation for degree awarded March, 2003 from UC Davis, 63 pages
dc.identifierhttps://arxiv.org/abs/math/0310143
dc.identifierhttp://arxiv.org/abs/math/0310143
dc.identifierJournal of knot theory and its ramifications 15(4) (2006) 453-469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98242
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleGraphical Calculus on Representations of Quantum Lie Algebras
dc.typetext

Files

Collections

arXiv