Codimensions of polynomial identities of representations of Lie algebras
  Consider a representation $\rho\colon L \to \mathfrak{gl}(V)$ where $L$ is a Lie algebra and $V$ is a finite dimensional vector space. We prove the analog of Amitsur's conjecture on asymptotic behavior for codimensions of polynomial identities of $\rho$. 
Alexey Sergeevich Gordienko
math.RA