English

Tensor spaces - the basics

Commutative Algebra 2015-10-09 v1

Abstract

We present the basic concepts of tensor products of vector spaces, emphasizing linear algebraic and combinatorial techniques as needed for applied areas of research. The topics include (1) Introduction; (2) Basic multilinear algebra; (3) Tensor products of vector spaces; (4) Tensor products of matries; (5) Inner products on tensor spaces; (6) Direct sums and tensor products; (7) Background concepts and notation.

Keywords

Cite

@article{arxiv.1510.02428,
  title  = {Tensor spaces - the basics},
  author = {S. Gill Williamson},
  journal= {arXiv preprint arXiv:1510.02428},
  year   = {2015}
}
R2 v1 2026-06-22T11:15:59.588Z