4 problems

Let ${\mathfrak g}$ be a semisimple Lie algebra, let $i(\bar{{\mathfrak g}})$ be reductive in ${\mathfrak g}$, and assume that…

Let ${\mathfrak g}$ be a semisimple Lie algebra, let $i(\bar{{\mathfrak g}})$ be reductive in ${\mathfrak g}$, and suppose that…

Matumoto's regular-integral conjecture. If

Matumoto's conjecture. An arbitrary nontrivial homomorphism between scalar generalized Verma modules is a composition of elementary homomorphisms.