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Lectures on extended affine Lie algebras

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arxiv 1003.2352 v1 pith:VYPBGRU4 submitted 2010-03-11 math.RA math.QAmath.RT

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keywords affinealgebrasextendedcommonduringfieldsfinite-dimensionalframework
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We give an introduction to the structure theory of extended affine Lie algebras, which provide a common framework for finite-dimensional semisimple, affine and toroidal Lie algebras. The notes are based on a lecture series given during the Fields Institute summer school at the University of Ottawa in June 2009.

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  1. On results of certain modules over untwisted affine Liesuperalgebras

    math.RT 2024-11 conditional novelty 4.0 of 10

    For simple finite weight modules over untwisted affine Lie superalgebras, each real root is classified as full-locally nilpotent, full-injective, down-nilpotent hybrid, or up-nilpotent hybrid.

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