To an n-dimensional representation of a finite dimensional Lie algebra one can naturally associate an algebra of equivariant polynomial maps from the space of m-tuples of elements of the Lie algebra into the space of n-by-n matrices. In the talk, we mainly deal with the special case of irreducible representations of the simple 3-dimensional complex Lie algebra, and discuss results on the generators of the corresponding associative algebra of concomitants as well as results on the quantitative behaviour of the identities of these representations.
This video is part of the European Non-Associative Algebra Seminar series.
