Characters of representations of affine Kac-Moody Lie algebras at the critical level

2007/06/13 by Tomoyuki Arakawa, Arakawa, Tomoyuki
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0706.1817

openalex publication_date 2007/06/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present an explicit character formula for the irreducible highest weight representations of the non-twisted affine Kac-Moody Lie algebra at the critical level which are integrable over the corresponding finite-dimensional simple Lie algebra.

Citations

• Fock representations of the affine Lie algebraA 1 (1)

Related

• Characters of integrable highest weight modules over a quantum group
• Characters of irreducible modules with non-critical highest weights over affine Lie algebras
• Multi-grounded partitions and character formulas
• Unitarizable highest weight representations for affine Kac-Moody algebras
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