Permutations with Kazhdan

نویسنده

  • ALEXANDER WOO
چکیده

Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with Kazhdan-Lusztig polynomial Pid,w(q) = 1 + q for some h.

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Permutations with Kazhdan-Lusztig polynomial

Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with KazhdanLusztig polynomial Pid,w(q) = 1 + q for some h. Résumé. On démontre la conjecture de Billey et Braden sur les permutations w pour lesquelles le polynôme de Kazhdan-Lusztig Pid,w(q) = 1...

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تاریخ انتشار 2008