Equivariant $K$-theory of affine flag manifolds and affine Grothendieck polynomials
Equivariant $K$-theory of affine flag manifolds and affine Grothendieck polynomials
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DOI：
10.1215/00127094-2009-032
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发表时间：
2006-01
影响因子：
2.5
通讯作者：
M. Kashiwara;M. Shimozono
中科院分区：
文献类型：
--
作者：
M. Kashiwara;M. Shimozono
我们研究了仿射旗流形关于Borel群作用的等变K-群。我们证明了K-群中(无穷维)Schubert簇的结构层由一个唯一的多项式表示，我们称之为仿射Grothendieck多项式。
We study the equivariant K-group of the affine flag manifold with respect to the Borel group action. We prove that the structure sheaf of the (infinite-dimensional) Schubert variety in the K-group is represented by a unique polynomial, which we call the affine Grothendieck polynomial.