A01=Russell Merris
advanced linear transformations
Author_Russell Merris
Category=PBF
character
combinatorial mathematics
Conjugacy Classes
diagram
Elementary Symmetric Functions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
ferrers
Ferrers Diagram
Finite Group
Generalized Matrix Functions
group
group actions
Homogeneous Polynomial
Homogeneous Symmetric Polynomial
Independent Indeterminates
Inequivalent Irreducible Representations
inner
Invariant Subspace
irreducible
Irreducible Character
Irreducible Constituent
Irreducible Representation
Linear Character
Linearly Independent
matrix inequalities
Multilinear Algebra
Nonisomorphic Graphs
permutation
Permutation Group
Positive Semidefinite
Principal Submatrix
product
rational representations
Schur Polynomial
space
Stabilizer Subgroup
symmetric function applications
tensor product theory
Threshold Graph
Transitive Permutation Group
vector
Vector Space
Product details
- ISBN 9789056990787
- Weight: 620g
- Dimensions: 156 x 234mm
- Publication Date: 20 Aug 1997
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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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.
