Event
Bernd Sturmfels (MPI MiS, Leipzig): Four-dimensional Lie algebras revisited
Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, G3 10 (Hörsaal)
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.
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Beginn: Oct. 4, 2022, 1:30 p.m.
Ende: Oct. 4, 2022, 2:30 p.m.