论文标题
加权klrw代数的蜂窝性$ b $，$ a^{（2）} $，$ d^{（2）} $
Cellularity for weighted KLRW algebras of types $B$, $A^{(2)}$, $D^{(2)}$
论文作者
论文摘要
本文构建了加权klrw代数的均质仿射三明治蜂窝基础，$ b $，$ a^{（2）} $，$ d^{（2）} $。我们的结构立即为这些代数的有限尺寸商提供了均匀的三明治细胞基础。由于加权KLRW代数概括了KLR代数，因此我们还获得了（无限和有限尺寸）KLR代数的碱基和细胞结果。
This paper constructs homogeneous affine sandwich cellular bases of weighted KLRW algebras in types $B$, $A^{(2)}$, $D^{(2)}$. Our construction immediately gives homogeneous sandwich cellular bases for the finite dimensional quotients of these algebras. Since weighted KLRW algebras generalize KLR algebras, we also obtain bases and cellularity results for the (infinite and finite dimensional) KLR algebras.
