The Hilbert series of ${\mathrm{SL}}_2$-invariants

Pedro de Carvalho Cayres Pinto, Hans-Christian Herbig, Daniel Herden +1

Let $V$ be a finite dimensional representations of the group ${\mathrm{SL}}_2$ of $2\times 2$ matrices with complex coefficients and determinant one. Let $R=\mathbb{C}[V]^{\ope…