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Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type (A)over-tilde(n)
Scott, Leonard2; Xi NanHua1,3
2010-08-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume53Issue:8Pages:1919-1930
AbstractIn this paper we show that the leading coefficient mu(y, w) of some Kazhdan-Lusztig polynomials P-y,(w) with y, w in an affine Weyl group of type (A) over tilde (n) is n + 2. This fact has some consequences on the dimension of first extension groups of finite groups of Lie type with irreducible coefficients.
KeywordKazhdan-Lusztig coefficient Kazhdan-Lusztig polynomial first extension group
DOI10.1007/s11425-010-4041-4
Language英语
Funding ProjectNational Natural Science Foundation of China[10671193]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000281011200001
PublisherSCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/9240
Collection数学所
Corresponding AuthorXi NanHua
Affiliation1.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
2.Univ Virginia, Dept Math, Charlottesville, VA 22903 USA
3.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Scott, Leonard,Xi NanHua. Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type (A)over-tilde(n)[J]. SCIENCE CHINA-MATHEMATICS,2010,53(8):1919-1930.
APA Scott, Leonard,&Xi NanHua.(2010).Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type (A)over-tilde(n).SCIENCE CHINA-MATHEMATICS,53(8),1919-1930.
MLA Scott, Leonard,et al."Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type (A)over-tilde(n)".SCIENCE CHINA-MATHEMATICS 53.8(2010):1919-1930.
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