Tensor products are projective geometries

[摘要] Given a finite-dimensional vector space V, we construct a family of projective geometries whose flats are certain subspaces of V, and show that there is a one-to-one correspondence between this family of projective geometries and the set of equivalence classes of tensor decompositions of V. This provides a practical method for finding a tensor decomposition of a finite-dimensional KG-module or proving that no nontrivial tensor decomposition exists. (C) 1997 Academic Press.

[发布日期] 1997-03-15