Morris Jain

Grothendieck Group of the Level -1 Type D: Gaps in Jin's Proof and a Complete Proof

Jin recently claims that the distinguished level $-1$ vacuum block of $L_{-1}(D_\ell)$ realizes the specialized dual affine left-cell module attached to the subregular cell containing $s_0$. We show that the proof of this Grothendieck-group statement contains a gap. We give an explicit counterexample over the discrete...