论文标题
A_1类型的Mirković-Vilonen基础
Mirković-Vilonen basis in type A_1
论文作者
论文摘要
令G为复数领域的还原连接的代数组。通过几何表面等效性，Mirković-Vilonen循环的基本类别在G = SL_2（c）的情况下定义了每个张量的量子的基础。
Let G be a reductive connected algebraic group over the field of complex numbers. Through the geometric Satake equivalence, the fundamental classes of the Mirković-Vilonen cycles define a basis in each tensor product of rational irreducible representations of G. In the case G=SL_2(C), we show that this basis coincides with the dual canonical basis at q=1.
