Demazure modules and vertex models: the affine sl(2) case

1996/02/08 by Omar Foda, Kailash C. Misra, Foda, Omar +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #hep-th #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9602018

31 pages, latex or latex2e, 8 eps figures, uses epsf macro, uudecoded

arxiv created 1996/02/08 · arxiv updated 2009/11/30

Abstract

We characterize, in the case of affine sl(2), the crystal base of the Demazure module E_w(\La) in terms of extended Young diagrams or paths for any dominant integral weight \La and Weyl group element w. Its character is evaluated via two expressions, 'bosonic' and 'fermionic'.

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