Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions

Article, Preprint English OPEN
Fourier, Ghislain; Littelmann, Peter; (2005)
  • Publisher: Elsevier BV
  • Journal: Advances in Mathematics,volume 211,issue 2,pages566-593 (issn: 0001-8708)
  • Related identifiers: doi: 10.1016/j.aim.2006.09.002
  • Subject: QA | Mathematics(all) | 22E46, 14M15 | Mathematics - Representation Theory | Mathematics - Quantum Algebra
    arxiv: Mathematics::Representation Theory | Mathematics::Quantum Algebra

We study finite dimensional representations of current algebras, loop algebras and their quantized versions. For the current algebra of a simple Lie algebra of type {\tt ADE}, we show that Kirillov-Reshetikhin modules and Weyl modules are in fact all Demazure modules. A... View more
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