Invariant Theory

1. Front Matter

   Pages N2-IV

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2. Introduction

   • Sebastian S. Koh

   Pages 1-7

3. Invariants of unipotent groups

   • Klaus Pommerening

   Pages 8-17

4. The invariants of n×n matrices

   • Edward Formanek

   Pages 18-43

5. Forme canonique d'une forme binaire

   • Alain Lascoux

   Pages 44-51

6. Canonical forms for binary forms of even degree

   • Joseph P. S. Kung

   Pages 52-61

7. Invariant theory and differential equations

   • Peter J. Olver

   Pages 62-80

8. Computing invariants

   • George R. Kempf

   Pages 81-94

9. Constructing invariant polynomials via tschirnhaus transformations

   • Frank D. Grosshans

   Pages 95-102

10. Back Matter

    Pages 103-105

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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.

• Combinatorics
• algebra
• algebraic geometry
• invariant theory

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