Lower bounds for Kazhdan-Lusztig polynomials from patterns

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We give a lower bound for the value at q=1 of a Kazhdan-Lustig polynomial in a Weyl group W in terms of "patterns''. This is expressed by a "pattern map" from W to W' for any parabloic subgroup W'. This notion generalizes the concept of patterns and pattern avoidance for permutations to all Weyl groups. The main tool of the proof is a "hyperbolic localization" on intersection cohomology; see the related paper http://front.math.ucdavis.edu/math.AG/0202251
14 pages; updated references. Final version; will appear in Transformation Groups vol.8, no. 4

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Representation Theory, Algebraic Geometry, Combinatorics, 14M15, 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/63422

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202252
 http://arxiv.org/abs/math/0202252

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arXiv