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Basic representations of some affine Lie algebras and generalized Euler identities
Published online by Cambridge University Press: 09 April 2009
Abstract
We consider certain affine Kac-Moody Lie algebras. We give a Lie theoretic interpretation of the generalized Euler identities by showing that they are associated with certain filtrations of the basic representations of these algebras. In the case when the algebras have prime rank, we also give algebraic proofs of the corresponding identities.
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- Copyright © Australian Mathematical Society 1987
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