论文标题
A型A型矩形nilpotent中的变形W-代数
Deformed W-algebras in type A for rectangular nilpotent
论文作者
论文摘要
对于任何自然数n，r，我们通过发电机和二次关系构建一个代数p_n^r，并表明它相对于Jordan Block Demomposition r+...+r，它会变形Gl_ {nr}的W-Algebra。我们引入了从GL_N的量子环形代数的一半到p_n^r的过滤性形态，并表明量子环形代数对抛物线或骨吊带牵扰性或骨通过p_n^r的模量空间的K理论组的作用。
For any natural numbers n,r, we construct an algebra P_n^r via generators and quadratic relations, and show that it deforms the W-algebra of gl_{nr} with respect to a nilpotent with Jordan block decomposition r+...+r. We introduce a surjective morphism from half of the quantum toroidal algebra of gl_n to P_n^r, and show that the action of the quantum toroidal algebra on the K-theory groups of the moduli spaces of parabolic sheaves factors through P_n^r.
