Vanishing of the quantum reduction of the Deligne exceptional series representations of negative integer level

2024/08/29 by Minoru Wakimoto, Wakimoto, Minoru · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2408.16560

openalex publication_date 2024/08/29 · openalex created_date 2024/09/29 · openalex updated_date 2026/07/28

Abstract

In this paper we show that, for the Deligne exceptional series representations of negative integer level of affine Lie algebras, the quantum Hamiltonian reduction vanishes except for the cases where the nilpotent element is conjugate to e_-θ or e_-θs.

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