Four-dimensional Lie algebras revisited

  • Bernd Sturmfels (MPI MiS, Leipzig)
S015 Universität Leipzig (Leipzig)


We discuss a system of 16 quadratic equations in 24 variables that arises in the study of Lie algebras. The solutions are the Lie algebra structures on a 4-dimensional vector space. There are four irreducible components of dimension 11. We compute their degrees and Hilbert polynomials, and thereby answer a 1999 question by Kirillov and Neretin. This is joint work with Laurent Manivel and Svala Sverrisdottir.

03.11.22 06.06.24

Seminar Algebra and Combinatorics

Universität Leipzig University n.n.

Mirke Olschewski

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