Realizations of BC_r graded intersection matrix algebras with grading subalgebras of type B_r, $r\ge 3$

Sandeep Bhargava, Yun Gao

We study intersection matrix algebras im(A^d) that arise from affinizing a Cartan matrix A of type B_r with d arbitrary long roots in the root system ${\Delta }_{B_r}$, where $r\ge 3$. W…