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Paper IPM / M / 16461  


Abstract:  
In 1986, Van de Leur introduced and classified affine Lie superalgebras. An affine Lie superalgebra is defined as the quotient of certain Lie
superalgebra >> defined by generators and relations, corresponding to a symmetrizable generalized Cartan matrix, over the socalled radical of
>> .
Because of the interesting applications of affine Lie (super)algebras in combinatorics, number
theory and physics, it is very important to recognize how far a Lie (super)algebra is to be an affine Lie (super)algebra.
In this regard, we determine affine Lie superalgebras axiomatically.
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