On components of the tensor square of a Weyl module

2023/12/20 by Shiliang Gao, Gao, Shiliang, Dinglong Wang +1
Computer Science · Mathematics · #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Quantum Computing Algorithms and Architecture #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2312.12756

openalex publication_date 2023/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

For a simple Lie algebra \mathfrakg of type A_n,B_n,C_n or D_n, we give a characterization of the set of dominant integral weights λ such that for any rational point μ in the fundamental Weyl chamber, 2λ-μ is a non-negative rational combination of the simple roots if and only if V_mμ⊆ V_mλ⊗ V_mλ for some positive integer m.

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