3 problems

Let $\mathcal{B}_{\mathbf{0}}^{+}$ be the slope subalgebra of the preprojective $K$-theoretic Hall algebra, and let $\mathfrak{n}_{Q}^{BPS}$ denote the positive half of the BPS Lie…

Fix a Serre subcategory $\mathcal{S}$, a stability condition $\upzeta$, and a slope $\uptheta$. Let $\operatorname{\mathcal{S}ta}^{G,\upzeta}_{\Pi_Q,\uptheta}$ be the direct sum of…

Let $J$ and $L^{\mathcal{S}}$ be the morphisms constructed from the proposed generators of the BPS Lie algebra associated with the preprojective CoHA, where $\mathcal{S}$ is a Serr…