Resumen de On the nullcone of representations of reductive groups

Hanspeter Kraft, Nolan R. Wallach

• We study the geometry of the nullcone N = NV ?k for several copies of a representation V of a reductive group G and its behavior for different k. We show that for large k there is a certain ¿stability¿ with respect to the irreducible components. In the case of the so-called ?-representations, this can be made more precise by using the combinatorics of the weight system as a subset of the root system. All this finally allows us to calculate explicitly and in detail a number of important examples, such as the cases of 3- and 4-qubits, which play a fundamental rôle in quantum computing.