The evolution of the spectrum of a Frobenius Lie algebra under deformation

Abstract

The category of Frobenius Lie algebras is stable under deformation, and here we examine explicit infinitesimal deformations of four and six dimensional Frobenius Lie algebras to illustrate that the spectrum of a Frobenius Lie algebra can evolve under deformation.

Keywords:

• Deformation
• Frobenius Lie algebra
• spectrum

2020 Mathematics Subject Classification:

• 17B20
• 05E15

Notes

1 In 2014, Gerstenhaber conjectured that seaweeds are cohomologically trivial. This was verified for type-A seaweeds by Elashvili and Rakviashvili (see [10], 2016).