论文标题
哈密顿植物的植物乳片和截断的扬吉人的减少
Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians
论文作者
论文摘要
广义的仿生硕士切片为半密布代数的体重空间提供了几何实现。它们也是库仑分支,与nakajima Quiver品种的符号双重。在本文中,我们证明了邻近的广义格拉曼尼亚片是通过添加剂组的作用减少汉密尔顿的。我们还证明了其量化的相同结果的较弱版本,即被称为截短的扬吉人的代数。
Generalized affine Grassmannian slices provide geometric realizations for weight spaces of representations of semisimple Lie algebras. They are also Coulomb branches, symplectic dual to Nakajima quiver varieties. In this paper, we prove that neighbouring generalized affine Grassmannian slices are related by Hamiltonian reduction by the action of the additive group. We also prove a weaker version of the same result for their quantizations, algebras known as truncated shifted Yangians.