Parabolic Kazhdan-Lusztig polynomials for quasi-minuscule quotients
Author
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Brenti, Francesco
Author
dc.contributor.author
Mongelli, Pietro
Author
dc.contributor.author
Sentinelli, Paolo
Admission date
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2016-11-22T20:00:35Z
Available date
dc.date.available
2016-11-22T20:00:35Z
Publication date
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2016
Cita de ítem
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Advances in Applied Mathematics 78 (2016) 27–55
es_ES
Identifier
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10.1016/j.aam.2016.01.005
Identifier
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https://repositorio.uchile.cl/handle/2250/141345
Abstract
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We study the parabolic Kazhdan-Lusztig polynomials for the quasi-minuscule quotients of Weyl groups. We give explicit closed combinatorial formulas for the parabolic Kazhdan-Lusztig polynomials of type q. Our study implies that these are always either zero or a monic power of q, and that they are not combinatorial invariants. We conjecture a combinatorial interpretation for the parabolic Kazhdan-Lusztig polynomials of type -1.