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Quantum loop modules

By Vyjayanthi Chari and Jacob Greenstein

Abstract

25 pages, AMSLaTeXWe 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

Topics: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA]
Publisher: HAL CCSD
Year: 2003
OAI identifier: oai:HAL:hal-00137245v1
Provided by: Hal-Diderot
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