Invariant Theory

Sebastian S. Koh (eds.)9780387183602, 0-387-18360-4

This volume of expository papers is the outgrowth of a conference in combinatorics and invariant theory. In recent years, newly developed techniques from algebraic geometry and combinatorics have been applied with great success to some of the outstanding problems of invariant theory, moving it back to the forefront of mathematical research once again. This collection of papers centers on constructive aspects of invariant theory and opens with an introduction to the subject by F. Grosshans. Its purpose is to make the current research more accesssible to mathematicians in related fields.

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Table of contents :
Introduction….Pages 1-7
Invariants of unipotent groups….Pages 8-17
The invariants of n×n matrices….Pages 18-43
Forme canonique d’une forme binaire….Pages 44-51
Canonical forms for binary forms of even degree….Pages 52-61
Invariant theory and differential equations….Pages 62-80
Computing invariants….Pages 81-94
Constructing invariant polynomials via tschirnhaus transformations….Pages 95-102