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math.RT2026
A generalization of partition identities of Göllnitz-Gordon, Rogers-Ramanujan and Nandi
Motoki Takigiku, Shunsuke Tsuchioka
We propose Andrews-Gordon type series for certain level 2 standard modules of type , and prove the corresponding sum-product identities except for $A^{(2)}_…
math.RT2020★ 1 cited
Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra
Motoki Takigiku, Shunsuke Tsuchioka
We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra . We also give conjectural series for s…