A glimpse of vector invariant theory

the points of view of Weyl, Rota, de Concini and Procesi, and Grosshans

Andrea Brini

pp. 25-43

in: Ernesto Damiani, Vincenzo Marra, Fabrizio Palombi (eds), From combinatorics to philosophy, Berlin, Springer, 2009

Abstract

We will try to provide a brief and elementary description of some of the founding ideas of the characteristic-zero theory as well as of the characteristic-free theory of vector invariants for the classical groups GL(d), SL(d), S p _2m , O(d).