Some results on generating functions for characters and weight multiplicities of the Lie algebra A₃

2017/05/10 by José Fernández Núñez, José Ferńandez Núñez, Núñez, José Fernández +6 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1705.03711

13 pages, no figures

openalex publication_date 2017/05/10 · arxiv created 2018/05/08 · arxiv updated 2018/05/09 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

A method based on the quantum Calogero-Sutherland model is used to obtain generating functions for characters and multiplicities of A₃. Some comments on other rank three algebras are offered.

Cited by

• Multiplicity formulas for fundamental strings of representations of classical Lie algebras

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