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arXiv · 2211.03652

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

Kana Ito
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Abstract

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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Kana Ito. 2022-11-07. Level 2 standard modules for $A^{(2)}_{9}$ and partition conditions of Kanade-Russell. https://arxiv.org/abs/2211.03652

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