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arXiv · 1510.02428

Tensor spaces - the basics

S. Gill Williamson
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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.

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S. Gill Williamson. 2015-10-08. Tensor spaces - the basics. https://arxiv.org/abs/1510.02428

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