论文标题
类型$ a_1^{（1）} $中量子仿射顶点代数的主要子空间
Principal subspaces for the quantum affine vertex algebra in type $A_1^{(1)}$
论文作者
论文摘要
通过使用Feigin和Stoyanovsky和Calinescu，Lepowsky和Milas的想法，我们介绍并研究了与kazhdan量子量子的主要子空间Integer Level $ k \ geqslant $ k \ geqslant 1 $ 1 $和类型$ a_1^{（1）} $相关的主要子空间。我们表明，主要子空间具有量子顶点代数结构，该结构转向经典限制的广义Verma和标准模块的主要子空间的通常顶点代数结构。此外，我们发现它们的拓扑准粒子碱基对应于某些Rogers-Ramanujan型身份的总和。
By using the ideas of Feigin and Stoyanovsky and Calinescu, Lepowsky and Milas we introduce and study the principal subspaces associated with the Etingof-Kazhdan quantum affine vertex algebra of integer level $k\geqslant 1$ and type $A_1^{(1)}$. We show that the principal subspaces possess the quantum vertex algebra structure, which turns to the usual vertex algebra structure of the principal subspaces of generalized Verma and standard modules at the classical limit. Moreover, we find their topological quasi-particle bases which correspond to the sum sides of certain Rogers-Ramanujan-type identities.
