J. Austral. Math. Soc.  72 (2002), 395-408

Multipartitions, generalized Durfee squares and affine Lie algebra characters

Peter Bouwknegt   Department of Physics and Mathematical Physics   University of Adelaide   Adelaide SA 5005   Australia   pbouwkne@physics.adelaide.edu.au

Abstract

We give some higher dimensional analogues of the Durfee square formula and point out their relation to dissections of multipartitions. We apply the results to write certain affine Lie algebra characters in terms of Universal Chiral Partition Functions.

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