论文标题
Verma Howe Duality和LKB表示
Verma Howe duality and LKB representations
论文作者
论文摘要
我们建立了Howe二元性的版本，该版本涉及Verma模块的张量产品。令人惊讶的是，这种二元性留下了最低和最高权重模块的领域。 我们量化了这种二元性，作为一种应用，我们证明了（彩色更高的）lkb表示形式是由这种二元性产生的，并使用此描述表明它们是编织组和其各个子组（包括纯辫子组）的模块。
We establish a version of Howe duality that involves a tensor product of Verma modules. Surprisingly, this duality leaves the realm of lowest and highest weight modules. We quantize this duality, and as an application, we prove that the (colored higher) LKB representations arise from this duality and use this description to show that they are simple as modules for the braid group and for various of its subgroups, including the pure braid group.
