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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1007/s10641-009-9441-3

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1573-8795

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Folded fans and string functions

Authors: M Ilyirn P Kulish V Lyakhovsky
Publish Date: 2010/07/28
Volume: 168, Issue: 6, Pages: 871-880
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Abstract

Folded fans Fψ describe recursion properties of weights of integrable highest weight modules L u Being considered simultaneously for the set of string functions sigma su belonging to a fundamental Weyl chamber and corresponding to the same congruence class the system of recursion relations gives rise to an equation which connects the string functions and the power series depending on multiplicities of weights of a folded fan Fψ We apply these equations to study properties of string functions sigma su associated with integrable modules for affine Lie algebras New important relations for string functions are thus obtained The set of folded fans provides a compact and effective tool to study them Bibliography 7 titles

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