3 problems

Let $\ell$ be a positive level. Denote by … the set of bounded-partition-enhanced $\ell\times\ell$-block $\mathbb{N}$-matrices, and by … the set of pairs of semistandard tableaux o…

Let $\mathcal{U}_\varnothing$ be the subalgebra generated by the uncolored variables, let $\mathfrak{J}^\varnothing_\nu$ be the corresponding noncommutative Schur function for a pa…

Let $\mathcal{A}$ be the ordered colored alphabet, let $\mathcal{U}$ be the associated noncommutative algebra, let $\mathfrak{J}_\nu(\mathbf{u})$ be the noncommutative super Schur…