We define and study cyclotomic quotients of affine Hecke algebras of type B. We establish an isomorphism between direct sums of blocks of these algebras and a generalization, for type B, of cyclotomic quiver Hecke algebras, which are a family of graded algebras closely related to algebras introduced by Varagnolo and Vasserot. Inspired by the work of Brundan and Kleshchev, we first give a family of isomorphisms for the corresponding result in type A which includes their original isomorphism. We then select a particular isomorphism from this family and use it to prove our result.

中文翻译：

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仿射 Hecke 代数和 B 型 quiver Hecke 代数的推广

我们定义和研究仿射 Hecke 代数的分圆商类型乙. 我们在这些代数块的直接和和泛化之间建立了同构，对于类型乙, 分圆颤动 Hecke 代数，这是一个分级代数族，与 Varagnolo 和 Vasserot 引入的代数密切相关。受 Brundan 和 Kleshchev 工作的启发，我们首先给出类型中相应结果的同构族一种其中包括它们原来的同构。然后我们从这个族中选择一个特定的同构并用它来证明我们的结果。