University of Sydney Algebra Seminar

Oksana Yakimova (Friedrich-Schiller-University Jena)

Friday 3 March, 12-1pm, Place: Carslaw 175

Symmetric invariants and polynomial rings.

For a reductive Lie algebra \(\mathfrak{g}\) of rank r, the ring of symmetric invariants \(S(\mathfrak{g})^\mathfrak{g}\) is a polynomial ring in r variables. We will discuss the importance of this property and then describe some other (non-reductive) Lie algebras having it.