In 2002 Derksen and Kemper introduced the notion of separating invariants as a weaker concept than generating invariants. Roughly speaking, separating invariants ‘separate’ exactly the same orbits that are separated by all polynomial invariants. There always exists a finite separating set whereas it is not the case for generating invariants. Moreover, in many cases separating invariant depend less on the characteristic of the base field than on generating sets. This talk is dedicated to
- joint results with Gregor Kemper and Fabian Reimers on separating invariants for the ring of multisymmetric polynomials in m sets of n variables over an arbitrary field F;
- joint results with Alexander Zubkov on separating invariants of several octonions with respect to the action of G2;
- joint results with Felipe Barbosa Cavalcante on separating invariants of 2×2 and 3×3 matrices.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
