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Article Dans Une Revue Represent. Theory Année : 2003

Quantum loop modules

Résumé

We classify the simple infinite dimensional integrable modules with finite dimensional weight spaces over the quantized enveloping algebra of an untwisted affine algebra. We prove that these are either highest (lowest) weight integrable modules or simple submodules of a loop module of a finite-dimensional simple integrable module and describe the latter class. Their characters and crystal bases theory are discussed in a special case.

Dates et versions

hal-00137245 , version 1 (19-03-2007)

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Vyjayanthi Chari, Jacob Greenstein. Quantum loop modules. Represent. Theory, 2003, 7, pp.56-80. ⟨hal-00137245⟩
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