Huang, Rosa Q. Invariants of sets of linear varieties. (English) Zbl 0717.15020 Proc. Natl. Acad. Sci. USA 87, No. 12, 4557-4560 (1990). The author announces the computation of a minimal set of generators of the ring of invariants for four linear subspaces of dimension n in a vector space of dimension 2n. This computation is based on the symbolic method developed by F. D. Grosshans, G.-C. Rota and J. A. Stein [Invariant theory and superalgebras (1987; Zbl 0648.15020)] A complete set of invariants for five 3-dimensional subspaces in a vector space of dimension 6 has also been determined. This result will be published later. The problem of the determination of a complete set of invariants for four n-dimensional subspaces in a 2n-dimensional vector space is due to H. W. Turnbull [Proc. Edinburgh Math. Soc. (2)7, 55-72 (1942; Zbl 0063.07882)]. Reviewer: A.A.Premet Cited in 1 ReviewCited in 3 Documents MSC: 15A72 Vector and tensor algebra, theory of invariants 65F30 Other matrix algorithms (MSC2010) 68W30 Symbolic computation and algebraic computation Keywords:symbolic computation; linear varieties; decomposable skew symmetric tensors; bracket algebra; minimal set of generators; ring of invariants Citations:Zbl 0648.15020; Zbl 0063.07882 PDFBibTeX XMLCite \textit{R. Q. Huang}, Proc. Natl. Acad. Sci. USA 87, No. 12, 4557--4560 (1990; Zbl 0717.15020) Full Text: DOI