3 problems

Let $\mathscr{U}_{\textit{\textsf{q}}}s\ell(2|1)$ be the quantum superalgebra, let $V$ and $V^\star$ be its fundamental representation and dual, and let $\mathscr{X}_{m,n}$ denote…

Let the graded affine Schur algebras be the algebras arising in the graded representation-theoretic setting under discussion, and let ${\mathscr P}$ denote the class of graded poly…

Let ${\tt C}$ be a generalized Cartan matrix and let $\alpha$ belong to the non-negative part of the corresponding root lattice. The KLR algebra $R_\alpha({\tt C})$ is defined for…