For every 2-dimensional non-associative algebra A we describe generators for the algebra I(A) of polynomial invariants of several copies of A. We also discuss Artin’s conjecture on invariants, which claims that I(A) is generated by the traces of operators of left and right multiplication over the algebra A.
This is joint work with María Alejandra Alvarez.
This video is part of the European Non-Associative Algebra Seminar series.
