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Multipartitions, generalized Durfee squares and affine Lie algebra characters

Part of: Combinatorics Quantum field theory; related classical field theories Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  01 August 2017

Peter Bouwknegt
Peter Bouwknegt*
Affiliation:
Department of Physics and Mathematical Physics, University of Adelaide, Adelaide SA 5005, Australia e-mail: pbouwkne@physics.adelaide.edu.au
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Abstract

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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.

MSC classification

Secondary: 05A17: Partitions of integers 05A19: Combinatorial identities, bijective combinatorics 17B67: Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras 81T40: Two-dimensional field theories, conformal field theories, etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 72 , Issue 3 , June 2002 , pp. 395 - 408
Copyright
Copyright © Australian Mathematical Society 2002

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