5 problems

Let $q$ be a prime power, let $k\in\mathbb{N}$, and let $\Gamma=\operatorname{GL}(n,\mathbb{F}_q)$. Define … The graph's independent sets are the $k$-intersecting families of inver…

Let $n$ be a prime satisfying … A coset complete 3-dimensional subspace is a 3-dimensional subspace of $\mathbb{F}_2^n$ used as a generator for the construction described in the pa…

Let $A_1,\ldots,A_k$ be standard Young tableaux with $\operatorname{sh}(A_i)=\alpha_i\vdash a_i$ for $i\in[k]$. Let $\mathcal{T}_n(A_1,\ldots,A_k)$ be the set of $k$-tuples…

Let $P^+(n,m)$ be the set of dominant weights, and let $K_{\lambda,\mu}^{\mathrm{stab}}(q)$ denote the stable $q$-analog of the weight multiplicity for the orthosymplectic Lie supe…

Let $P^+(n,m)$ be the set of dominant weights, let $\rho$ be the relevant Weyl vector, and let $K_{\lambda,\mu}(q)$ denote the $q$-analog of the weight multiplicity for…