On a property of branching coefficients for affine Lie algebras

Details On a property of branching coefficients for affine Lie algebras On a property of branching coefficients for affine Lie algebras

2008-12-11

arxiv.org/abs/0812.2124v1

Mathematics

Representation Theory

17 pages, 3 figures, to be published in Algebra i Analiz

Scientific paper

It is demonstrated that decompositions of integrable highest weight modules of a simple Lie algebra with respect to its reductive subalgebra obey the set of algebraic relations leading to the recursive properties for the corresponding branching coefficients. These properties are encoded in the special element (of the formal algebra E(g)) Gamma_(a ->g) that describes the injection and is called the fan. In the simplest case, when "a" is a Cartan subalgebra of g, the recursion procedure generates the weight diagram of the module L(g). When applied to a reduction of highest weight modules the recursion described by the fan provides a highly effective tool to obtain the explicit values of branching coefficients.

Affiliated with

Also associated with

No associations

Rating

On a property of branching coefficients for affine 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 On a property of branching coefficients for affine Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a property of branching coefficients for affine Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60601