The type BB super-Artin basis conjecture

Let RBn(1,1)R_{\mathfrak{B}_n}^{(1,1)} be the type BB (1,1)(1,1) coinvariant ring, and let BBn(1,1)B_{\mathfrak{B}_n}^{(1,1)} be the type BB super-Artin set. Type BB super-Artin conjecture.

BBn(1,1) is a basis for RBn(1,1).B_{\mathfrak{B}_n}^{(1,1)}\text{ is a basis for }R_{\mathfrak{B}_n}^{(1,1)}.

This conjecture is attributed to Sagan and Swanson; the supplied text does not state whether it has been resolved.

Sources & referencesView supporting material

Primary source

John Lentfer, “A conjectural basis for the (1,2)-bosonic-fermionic coinvariant ring”, arXiv:2406.19715 (2026).

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