Crystal Bases of Quantum Affine Algebras and Affine Kazhdan-Lusztig Polynomials

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dc.creatorGoodman, Frederick M.
dc.creatorWenzl, Hans
dc.date1998-07-02
dc.date.accessioned2026-07-07T05:25:16Z
dc.date.available2026-07-07T05:25:16Z
dc.descriptionWe present a fast version of the algorithm of Lascoux, Leclerc, and Thibon for the lower global crystal base for the Fock representation of quantum affine sl_n. We also show that the coefficients of the lower global crystal base coincide with certain affine Kazhdan-Lusztig polynomials. It is known that the coefficients of the global crystal base are q-analogues of decomposition numbers for Specht modules of the Hecke algebra of type A_n, and that the coefficients of the affine Kazhdan-Lusztig polynomials are q-analogues of decomposition numbers for tilting modules for quantum sl_k. Thus our algorithm allows fast computation of these decomposition numbers.
dc.description22 pages, amslatex
dc.identifierhttps://arxiv.org/abs/math/9807014
dc.identifierhttp://arxiv.org/abs/math/9807014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77116
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject17B37
dc.titleCrystal Bases of Quantum Affine Algebras and Affine Kazhdan-Lusztig Polynomials
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