BFM空间上的达布坐标
Darboux coordinates on the BFM spaces
摘要：
Bezrukavnikov-Finkelberg-Mirković [Compos. Math. { \bf 141}（2005）]确定了仿射格拉斯曼的等变$K$ -群，我们称之为BFM空间á là Teleman [Proc. ICM Seoul（2014）]的（坐标环），具有Toda格的版本。我们给出了一个新的系统的生成元和一定的本地化的这个空间，可以被看作是一个版本的达布坐标的关系。这在Finkelberg-Tymbaliuk [Progress in Math. { \bf 300}（2019）]中建立了一个猜想，该猜想将连通约化代数群的BFM空间与Levi子群的BFM空间联系起来。
英文摘要：
Bezrukavnikov-Finkelberg-Mirković [Compos. Math. {\bf 141} (2005)] identified the equivariant $K$-group of an affine Grassmannian, that we refer as (the coordinate ring of) a BFM space á là Teleman [Proc. ICM Seoul (2014)], with a version of Toda lattice. We give a new system of generators and relations of a certain localization of this space, that can be seen as a version of its Darboux coordinate. This establishes a conjecture in Finkelberg-Tymbaliuk [Progress in Math. {\bf 300} (2019)] that relates the BFM space of a connected reductive algebraic group with those of Levi subgroups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
