Tensor decompositions for SL(2) and outerplanar graphs
Abstract
Description
The main result of this article is the decomposition of tensor products of representations of SL(2) in the sum of irreducible representations parametrized by outerplanar graphs. An outerplanar graph is a graph with the vertices 0, 1, 2, ..., m, edges of which can be drawn in the upper half-plane without intersections. I allow for a graph to have multiple edges, but don't allow loops.
21 pages. Submitted to the Journal of Combinatorial Theory, Series A
21 pages. Submitted to the Journal of Combinatorial Theory, Series A