AN INVERSION FORMULA FOR (J, (J)over-cap)-RELATIVE KAZHDAN-LUSZTIG POLYNOMIALS

doi:10.1080/00927870802623401

CORC > 上海财经大学 > 上海财经大学

	AN INVERSION FORMULA FOR (J, (J)over-cap)-RELATIVE KAZHDAN-LUSZTIG POLYNOMIALS
	Yin, Yunchuan
刊名	COMMUNICATIONS IN ALGEBRA
	2009
卷号	37 期号:8 页码:2907-2919
关键词	Coxeter group Hecke algebra Kazhdan-Lusztig polynomial Solomon's ideals
ISSN号	0092-7872
DOI	10.1080/00927870802623401
英文摘要	The article proves a relative version of one of the results from the influential article [ 4] of Kazhdan and Lusztig which introduced the Kazhdan-Lusztig polynomials. Given a Coxeter group W and a set S of simple reflections, let H denote the corresponding Hecke algebra, it has a "standard" basis T(w) and another basis C(w) with many remarkable properties. The Kazhdan-Lusztig polynomials p(x, w) give the transition matrix between these bases. One of their results proved by Kazhdan and Lusztig is an inversion formula, which states that if W is finite with longest element w(0), then
WOS研究方向	Mathematics
语种	英语
出版者	TAYLOR & FRANCIS INC
WOS记录号	WOS:000270583700022
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2511]
专题	上海财经大学
通讯作者	Yin, Yunchuan
作者单位	Shanghai Univ Finance & Ecomon, Dept Appl Math, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Yin, Yunchuan. AN INVERSION FORMULA FOR (J, (J)over-cap)-RELATIVE KAZHDAN-LUSZTIG POLYNOMIALS[J]. COMMUNICATIONS IN ALGEBRA,2009,37(8):2907-2919.
APA	Yin, Yunchuan.(2009).AN INVERSION FORMULA FOR (J, (J)over-cap)-RELATIVE KAZHDAN-LUSZTIG POLYNOMIALS.COMMUNICATIONS IN ALGEBRA,37(8),2907-2919.
MLA	Yin, Yunchuan."AN INVERSION FORMULA FOR (J, (J)over-cap)-RELATIVE KAZHDAN-LUSZTIG POLYNOMIALS".COMMUNICATIONS IN ALGEBRA 37.8(2009):2907-2919.