Complete Decompositions of Coxeter groups orbit products of A₂, C₂, G₂ and H₂ and some limits for them

2013/04/18 by Agnieszka Tereszkiewicz, Tereszkiewicz, Agnieszka
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1304.4998

24 pages, 10 figures

openalex publication_date 2013/04/18 · arxiv created 2014/02/17 · arxiv updated 2014/02/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Orbits of the Weyl reflection groups attached to the simple Lie groups A₂, C₂, G₂ and Coxeter group H₂ are considered. For each of the groups products of any two orbits are decomposed into the union of the orbits. Results are presented in a single formula for each of the groups. Orbits are considered as functions of two variables and limits for such functions are mentioned.

Citations

• Antisymmetric Orbit Functions
• E-Orbit Functions

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