Equivariant K-theory of Bott towers. Application to the multiplicative structure of the equivariant K-theory offlag varieties

被引:18
|
作者
Willems, M [1 ]
机构
[1] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France
关键词
D O I
10.1215/S0012-7094-06-13223-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
(Equivariant K-theory of Bott towers. Application to the multiplicative structure of the equivariant K-theory of flag varieties) We construct a basis of the equivariant K-theory of Bott towers, and we describe precisely the multiplicative structure of these algebras. We deduce similar results for Bott-Samelson varieties. Thanks to the link between flag varieties and Bott-Samelson varieties, we give a method to compute the structure constants of the equivariant K-theory of flag varieties in the basis constructed by Kostant and Kumar in [18].
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页码:271 / 309
页数:39
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