论文标题
nil-blob代数：类型的化身$ \ tilde {a} _1 $ soergel calculus和截断的blob代数
The nil-blob algebra: An incarnation of type $\tilde{A}_1$ Soergel calculus and of the truncated blob algebra
论文作者
论文摘要
我们介绍了nil temperley-lieb代数的类型$ b $类似物，就发电机和关系而言，我们称为（扩展的）尼尔障碍代数。我们表明，该代数与类型$ \ tilde {a} _1 $的bott-samelson bimodule的内态代数同构。我们还证明，这是对经典blob代数的同性恋截断的同构。
We introduce a type $B$ analogue of the nil Temperley-Lieb algebra in terms of generators and relations, that we call the (extended) nil-blob algebra. We show that this algebra is isomorphic to the endomorphism algebra of a Bott-Samelson bimodule in type $\tilde{A}_1$. We also prove that it is isomorphic to an idempotent truncation of the classical blob algebra.Thus we provide strong evidence in favor of the recent Blob vs. Soergel conjecture.
