Abstract
The algebra of invariants of d-tuples of skew-symmetric matrices under the action of the orthogonal group O(n) by the simultaneous conjugation is considered over an infinite field of characteristic different from two. It is well-known that this algebra is generated by the coefficients of the characteristic polynomial of all products of generic skew-symmetric matrices. We establish a minimal generating system for the case of two skew-symmetric matrices.
Notes
No potential conflict of interest was reported by the author.