ABSTRACT

The prototypical multilinear operation is multiplication. Indeed, every multilinear mapping can be factored through a tensor product. Apart from its intrinsic interest, the tensor product is of fundamental importance in a variety of disciplines, ranging from matrix inequalities and group representation theory, to the combinatorics of symmetric func

chapter 1|26 pages

Partitions

chapter 2|26 pages

Inner Product Spaces

chapter 3|22 pages

Permutation Groups

chapter 4|46 pages

Group Representation Theory

chapter 5|30 pages

Tensor Spaces

chapter 6|62 pages

Symmetry Classes of Tensors

chapter 7|52 pages

Generalized Matrix Functions

chapter 8|33 pages

The Rational Representations of GL(n, C)