K. S. Vorushilov, “Jordan–Kronecker invariants of semidirect sums of the form $\mathrm{sl}(n)+(\mathbb R^{n})^k$ and $\mathrm{gl}(n)+(\mathbb R^{n})^k$”, Fundam. Prikl. Mat., 2019, Volume 22, Issue 6,Pages 3

This article is cited in 2 papers

Jordan–Kronecker invariants of semidirect sums of the form $\mathrm{sl}(n)+(\mathbb R^{n})^k$ and $\mathrm{gl}(n)+(\mathbb R^{n})^k$

K. S. Vorushilov

Moscow State University, Moscow, Russia

Abstract: We calculate Jordan–Kronecker invariants for semidirect sums of Lie algebras $\mathrm{sl}(n)$ and $\mathrm{gl}(n)$ with $k$ copies of $\mathbb R^n$ with respect to their standard representation for cases where $k>n$ or $n$ is a multiple of $k$.

UDC: 512.81