Positive semidefiniteness of $h$-Shuhan matrices (analogs of Borcherds Cartan matrices) and associated determinant sequences

Weicai Wu, Mingxuan Yang

We introduce an $h$-Shuhan matrix as a real square matrix $H=(h_{ij})$ with a common diagonal entry $h\ge 0$, nonpositive integral off-diagonal entries, and the following Cartan-typ…