Level 2 standard modules for A(2)9 and partition conditions of Kanade-Russell
Abstract
We give Z-monomial generators for the vacuum spaces of certain level 2 standard modules of type A(2)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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