Tensor Product Decomposition of \mathfraksl(n) Modules and Identities

2013/07/29 by Kailash C. Misra, Misra, Kailash C., Evan Wilson +2
Computer Science · Mathematics · #17B10 #17B37 #17B67 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Coding theory and cryptography #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B10 #msc:17B37 #msc:17B67

paper · pdf · doi:10.48550/arxiv.1307.7675

15 pages. arXiv admin note: substantial text overlap with arXiv:1109.2478

arxiv created 2013/07/29 · openalex publication_date 2013/07/29 · arxiv updated 2013/07/30 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28

Abstract

We decompose the \mathfraksl(n)-module V(Λ₀) ⊗ V(Λ_i) and give generating function identities for the outer multiplicities. In the process we discover some seemingly new partition identities for n=3, 4.

Citations

• On Tensor Product Decomposition of \mathfraksl(n) Modules

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