矩形$W$ -代数的仿射Yangians余积与抛物诱导
Coproduct for affine Yangians and parabolic induction for rectangular $W$-algebras
摘要：
我们构造了从仿射Yangians到A型矩形$W$ -代数的当前代数的代数同态。利用余积和赋值映射给出了仿射杨格数的构造。由此，我们证明了矩形$W$ -代数的抛物诱导可以看作仿射杨氏在同态下的张量积表示.同样的方法也适用于超级设置。
英文摘要：
We construct algebra homomorphisms from affine Yangians to the current algebras of rectangular $W$-algebras both in type A. The construction is given via the coproduct and the evaluation map for the affine Yangians. As a consequence, we show that parabolic inductions for representations of the rectangular $W$-algebras can be regarded as tensor product representations of the affine Yangians under the homomorphisms. The same method is applicable also to the super setting.
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