A proof of polynomial identities of type sl(n̂)1⊗sl(n̂)1/sl(n̂)2

DOI10.1063/1.531698zbMath0881.17022arXivq-alg/9507014OpenAlexW1630292772MaRDI QIDQ5284425

Masato Okado, S. Ole Warnaar, Omar Foda

Publication date: 5 February 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9507014

zbMATH Keywords

polynomial identitiesaffine algebrascrystal basesbranching functions

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (4)

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 ⋮ Bosonic formulas for affine branching functions ⋮ Fermionic solution of the Andrews-Baxter-Forrester model. II: Proof of Melzer's polynomial identities.

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• Partitions with prescribed hook differences
• Relating Kac-Moody, Virasoro and Krichever-Novikov algebras
• A bijection which implies Melzer's polynomial identities: The \(\chi_{1,1}^{(p,p+1)}\) case
• Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models
• Virasoro Character Identities from the Andrews–Bailey Construction
• CRYSTALLINE SPINON BASIS FOR RSOS MODELS
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁

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