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50 Years of Bailey’s Lemma

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Algebraic Combinatorics and Applications

Abstract

Half a century ago, The Proceedings of the London Mathematical Society published W. N. Bailey’s influential paper Identities of the Rogers-Ramanujan type [16]. The main result therein, which was inspired by Rogers’ second proof of the Rogers-Ramanujan identities [49] (and also [48,28,15]), is what is now known as Bailey’s lemma. To celebrate the occasion of the lemma’s fiftiest birthday we present a history of Bailey’s lemma in 5 chapters (or rather sections), covering (i) Bailey’s work, (ii) the Bailey chain (iii) the Bailey lattice (iv) the Bailey lemma in statistical mechanics, and (v) conjugate Bailey pairs.

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Author notes

  1. S. Ole Warnaar

    Present address: Department of Mathematics and Statistics, The University of Melbourne, Vic, 3010, Australia

Authors and Affiliations

  1. Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE, Amsterdam, The Netherlands

    S. Ole Warnaar

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  1. S. Ole Warnaar
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Editors and Affiliations

  1. Lehrstuhl II für Mathematik, Universität Bayreuth, 95440, Bayreuth, Germany

    Anton Betten , Axel Kohnert , Reinhard Laue  & Alfred Wassermann , ,  & 

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Warnaar, S.O. (2001). 50 Years of Bailey’s Lemma. In: Betten, A., Kohnert, A., Laue, R., Wassermann, A. (eds) Algebraic Combinatorics and Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59448-9_23

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  • DOI: https://doi.org/10.1007/978-3-642-59448-9_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41110-9

  • Online ISBN: 978-3-642-59448-9

  • eBook Packages: Springer Book Archive

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