Branching rule on winding subalgebras of affine Kac-Moody algebras

2025/07/05 by Khanh Nguyen Duc, Duc, Khanh Nguyen
Mathematics · #17B10 (primary) #17B67 #22E65 (secondary) #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2507.04145

openalex publication_date 2025/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, by using the Lakshmibai-Seshadri paths, we give the branching rule for representations of affine Kac-Moody algebras to their winding subalgebras. As a corollary, we can describe branching multiplicities in the language of paths. An analog of Steinberg's formula for branching multiplicities is also given.

Citations

• Branching rules for winding subalgebras of the affine Kac--Moody algebras A⁽¹⁾₁ and A⁽²⁾₂

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