1996/10/10 by Peter Bouwknegt, Bouwknegt, Peter · 2 citations
Mathematics · Physics and Astronomy · #17B67 #17B68 #81R10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math.QA #msc:17B67 #msc:17B68 #msc:81R10 #q-alg
paper · pdf · doi:10.48550/arxiv.q-alg/9610013
8 pages. Crucial reference overlooked. Ref added and appropriate changes made, including new title. Old title: `A new coset construction and applications'. Plain TeX with amssym.def
openalex publication_date 1996/10/10 · arxiv created 1997/03/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we review the coset construction for winding subalgebras of affine Lie algebras. We classify all cosets of central charge c<1 and calculate their branching rules. The corresponding character identities give certain `doubling formulae' for the affine characters. We discuss some applications of our construction, in particular we find a simple proof of a crucial identity needed for the computation of the level-2 root multiplicities of the hyperbolic Kac-Moody algebra E10.