A new generalization of Hermite's reciprocity law

Leandro Cagliero, Daniel Penazzi

Given a partition $\lambda$ of $n$, the {\it Schur functor} ${\mathbb{S}}_{\lambda }$ associates to any complex vector space $V$, a subspace ${\mathbb{S}}_{\lambda }(V)$ of $V^{\otimes n}$. Hermite's reciproc…