𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Tensor Products are Projective Geometries

✍ Scribed by C.R Leedham-Green; E.A O'Brien


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
197 KB
Volume
189
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


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.


πŸ“œ SIMILAR VOLUMES