论文标题
在小量子组不变中心内的Aggine Springer纤维上
On the affine Springer fibers inside the invariant center of the small quantum group
论文作者
论文摘要
令$ \ mathfrak {u}_ζ^\ vee $表示与简单的lie代数$ \ mathfrak相关的小量子组{g}^\ vee $和unity $ζ$的根。在[9]中，$ z（\ mathfrak {u}_ζ^\ vee）^{g^\ vee} $的几何实现，$ g^\ vee $ -invariant的$ \ mathfrak {U} _面^\ vee $的中心的一部分。我们计算中心的几何亚级别的尺寸，如果在$ g = sl_n $的情况下，我们研究了结果的重大细化。
Let $\mathfrak{u}_ζ^\vee$ denote the small quantum group associated with a simple Lie algebra $\mathfrak{g}^\vee$ and a root of unity $ζ$. In [9], a geometric realization of $Z(\mathfrak{u}_ζ^\vee)^{G^\vee}$, the $G^\vee$-invariant part of the center of $\mathfrak{u}_ζ^\vee$, was proposed. We compute the dimension of the geometric subalgebra of the center and in the case where $G=SL_n$, we study a bigraded refinement of the result.
