Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra 𝐴⁽²⁾₂

Takigiku, Motoki; Tsuchioka, Shunsuke

doi:10.1090/proc/15394

Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_2$
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by Motoki Takigiku and Shunsuke Tsuchioka PDF

Proc. Amer. Math. Soc. 149 (2021), 2763-2776 Request permission

Abstract:

We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_{2}$. We also give conjectural series for some level 2 modules of $A^{(2)}_{13}$.

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