A proof of polynomial identities of type $\widehat{sl(n{)}_1}\otimes \widehat{sl(n{)}_1}/\widehat{sl(n{)}_2}$

Abstract

We present a proof of polynomial identities related to finite analogues of the branching functions of the coset $\widehat{sl(n{)}_1}\otimes \widehat{sl(n{)}_1}/\widehat{sl(n{)}_2}$.

31 pages, Latex, 10 Postscript figures

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Cited by in corpus (5)

• q-Deformed Fock spaces and modular representations of spin symmetric groups
• A Burge tree of Virasoro-type polynomial identities
• Multinomials and Polynomial Bosonic Forms for the Branching Functions of the $\widehat{su}(2{)}_M\times \widehat{su}(2{)}_N/\widehat{su}(2{)}_{M+N}$ Conformal Coset Models
• A Higher-Level Bailey Lemma: Proof and Application
• Bosonic formulas for affine branching functions