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Symmetric functions and the centre of the Ringel-Hall algebra of a cyclic quiver

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Abstract

We obtain explicit generators for the centre of the Ringel-Hall algebra of a cyclic quiver and define a canonical algebra monomorphism from Macdonald's ring of symmetric functions to the centre, which furthermore respects the comultiplication and the symmetric bilinear form.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Paderborn, Warburger Str. 100, 33905, Paderborn, Germany

    Andrew Hubery

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  1. Andrew Hubery
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Correspondence to Andrew Hubery.

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Dedicated to Claus Michael Ringel on the occasion of his 60th birthday

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Hubery, A. Symmetric functions and the centre of the Ringel-Hall algebra of a cyclic quiver. Math. Z. 251, 705–719 (2005). https://doi.org/10.1007/s00209-005-0830-9

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  • DOI: https://doi.org/10.1007/s00209-005-0830-9

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