Multilinear algebra
著者
書誌事項
Multilinear algebra
（Algebra, logic and applications series, v. 8）
Gordon and Breach Science Publishers, c1997
大学図書館所蔵 件 / 全14件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
内容説明・目次
内容説明
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 functions, and all these subjects appear in this book. Another attraction of multilinear algebra lies in its power to unify such seemingly diverse topics. This is done in the final chapter by means of the rational representations of the full linear group. Arising as characters of these representations, the classical Schur polynomials are one of the keys to unification. Prerequisites for the book are minimized by self-contained introductions in the early chapters. Throughout the text, some of the easier proofs are left to the exercises, and some of the more difficult ones to the references.
目次
1. Partitions 2. Inner Product Spaces 3. Permutation Groups 4. Tensor Spaces 5. Symmetry Classes of Tensors 6. Generalized Matrix Functions 7. Group Representation Theory 8. The Rational Representations of GL(n,C)
「Nielsen BookData」 より
