A note on weight systems which are quantum states

2022/10/11 by Carlo Collari, Collari, Carlo
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #57K12) #57K16 (05E15 #Advanced Algebra and Geometry #Amino Acid Enzymes and Metabolism #Digital Image Processing Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2210.05399

openalex publication_date 2022/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A result of Corfield, Sati, and Schreiber asserts that \mathfrakgl_n-weight systems associated to the defining representation are quantum states. In this short note we extend this result to all \mathfrakgl_n-weight systems corresponding to labeling by symmetric and exterior powers of the defining representation.

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