Explicit formulae for some Kazhdan-Lusztig R-polynomials

被引：5
|
作者：
Pagliacci, M [1 ]
机构：
[1] Univ Roma La Sapienza, Dpto Matemat G Castelnuovo, Ist Nazl Alta Matemat Francesco Severi, I-00135 Rome, Italy
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2001年 / 95卷 / 01期
关键词：
D O I：
10.1006/jcta.2000.3151
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Kazhdan Lusztig R-polynomials, R-u,R- e (q) indexed by permutations "u, v" having particular forms. More precisely we show that R-e,R-34..n12(q) (where "e" denotes the identity permutation) equals, aside from a simple change of variable. a q-analogue of the Fibonacci number, and if two permututions are obtained one from the other by applying two transpositions tone simple. and one not I, then the corresponding R-polynomial factors nicely. Our proof are combinatorial. (C) 2001 Academic Press.
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页码：74 / 87
页数：14
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