论文标题

$ a^{(2)} _ {9} $的2级标准模块和kanade-russell的分区条件

Level 2 standard modules for $A^{(2)}_{9}$ and partition conditions of Kanade-Russell

论文作者

Ito, Kana

论文摘要

我们为特定级别2标准模块的真空空间提供$ z $ - 工艺生成器,$ a^{(2)} _ {\ textrm {odd}} $,索引在整数分区上运行。特别是,我们给出了$ a^{(2)} _ {9} $类型的Rogers-Ramanujan类型身份的谎言理论解释,这是由Kanade-Russell猜想的,并由Bringmann等人证明。和罗森格伦。

We give $Z$-monomial generators for the vacuum spaces of certain level 2 standard modules of type $A^{(2)}_{\textrm{odd}}$ with indices running over integer partitions. In particular, we give a Lie theoretic interpretation of the Rogers-Ramanujan type identities of type $A^{(2)}_{9}$, which were conjectured by Kanade-Russell, and proven by Bringmann et al. and Rosengren.

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