1997/12/19 by Aleksandrs Mihailovs, Mihailovs, Aleksandrs · 1 citation
Mathematics · #05C10 (Secondary) #05C30 #15A72 (Primary) 05C75 #20C15 #20G05 #22E46 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.CO #math.RT #msc:05C10 #msc:05C30 #msc:05C75 #msc:15A72 #msc:20C15 #msc:20G05 #msc:22E46
paper · pdf · doi:10.48550/arxiv.math/9712259
21 pages. Submitted to the Journal of Combinatorial Theory, Series A
arxiv created 1997/12/19 · openalex publication_date 1997/12/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.