Tensor decompositions for SL(2) and outerplanar graphs
Representation Theory
2007-05-23 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/9712259,
title = {Tensor decompositions for SL(2) and outerplanar graphs},
author = {Aleksandrs Mihailovs},
journal= {arXiv preprint arXiv:math/9712259},
year = {2007}
}
Comments
21 pages. Submitted to the Journal of Combinatorial Theory, Series A