Mathematics – Representation Theory
Scientific paper
2010-07-02
J. Phys. A 44:075205,2011
Mathematics
Representation Theory
LaTeX, 23 pages, 13 figures, section 2 is clarified, new lemma and theorem are introduced, figures are improved, submitted to
Scientific paper
10.1088/1751-8113/44/7/075205
Recurrent relations for branching coefficients in affine Lie algebras integrable highest weight modules are studied. The decomposition algorithm based on the injection fan technique is developed for the case of an arbitrary reductive subalgebra. In particular we consider the situation where the Weyl denominator becomes singular with respect to the subalgebra. We demonstrate that for any reductive subalgebra it is possible to define the injection fan and the analogue of the Weyl numerator - the tools that describe explicitly the recurrent properties of branching coefficients. Possible applications of the fan technique in CFT models are considered.
Lyakhovsky Vladimir
Nazarov Anton
No associations
LandOfFree
Recursive algorithm and branching for nonmaximal embeddings 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 Recursive algorithm and branching for nonmaximal embeddings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recursive algorithm and branching for nonmaximal embeddings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-727429