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

Motoki Takigiku; Shunsuke Tsuchioka

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

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arxiv 2006.02630 v1 pith:OYFYUOJO submitted 2020-06-04 math.RT math.NT

Motoki Takigiku , Shunsuke Tsuchioka This is my paper · ORCID

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keywords levelmodulesseriesaffinealgebraandrews-gordongivestandard

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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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Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra $A_2^{(2)}$
math.CO 2025-11 conditional novelty 5.0 of 10

The partial partition conditions for level 5 A2^(2) L(5Λ0) match the specialized character through q^41, miss one partition each at q^42 and q^48, and differ from the Borcea-dual A1^(1) level 2 identity.

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