Graphical Calculus on Representations of Quantum Lie Algebras

Details Graphical Calculus on Representations of Quantum Lie Algebras Graphical Calculus on Representations of Quantum Lie Algebras

2003-10-10

arxiv.org/abs/math/0310143v1

Journal of knot theory and its ramifications 15(4) (2006) 453-469

Mathematics

Quantum Algebra

Dissertation for degree awarded March, 2003 from UC Davis, 63 pages

Scientific paper

We 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)).

Affiliated with

Also associated with

No associations

Rating

Graphical Calculus on Representations of Quantum Lie Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Graphical Calculus on Representations of Quantum Lie Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Graphical Calculus on Representations of Quantum Lie Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-217036