**CRM Proceedings & Lecture Notes**

Volume: 35;
2004;
287 pp;
Softcover

MSC: Primary 13; 14; 20; 54;

Print ISBN: 978-0-8218-3244-8

Product Code: CRMP/35

List Price: $103.00

Individual Member Price: $82.40

**Electronic ISBN: 978-1-4704-3949-1
Product Code: CRMP/35.E**

List Price: $103.00

Individual Member Price: $82.40

# Invariant Theory in All Characteristics

Share this page *Edited by *
*H. E. A. Eddy Campbell; David L. Wehlau*

A co-publication of the AMS and Centre de Recherches Mathématiques

This volume includes the proceedings of a workshop on
Invariant Theory held at Queen's University (Ontario). The workshop
was part of the theme year held under the auspices of the Centre de
recherches mathématiques (CRM) in Montreal. The gathering brought
together two communities of researchers: those working in
characteristic 0 and those working in positive characteristic.

The book contains three types of papers: survey articles providing
introductions to computational invariant theory, modular invariant theory of
finite groups, and the invariant theory of Lie groups; expository works
recounting recent research in these three areas and beyond; and open problems
of current interest.

The book is suitable for graduate students and researchers working
in invariant theory.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

#### Readership

Graduate students and research mathematicians interested in invariant theory.

# Table of Contents

## Invariant Theory in All Characteristics

- Cover Cover11
- Title page iii4
- Contents v6
- List of participants vii8
- List of speakers xi12
- Preface xiii14
- A local study of embeddings of complexity one 116
- Constructive invariant theory 1126
- On global degree bounds for invariants 3752
- On invariant theory of finite groups 4358
- Combinatorics related to orbit closures of symmetric subgroups in flag varieties 7186
- Deformation of symmetric functions and the rational Steenrod algebra 91106
- Cohomology with Grosshans graded coefficients 127142
- The module structure of a group action on a polynomial ring: examples, generalizations, and applications 139154
- An invariant theoretic description of the primitive elements of the mod-𝑝 cohomology of a finite loop space which are annihilated by Steenrod operations 159174
- On Noether’s and Weyl’s bound in positive characteristic 175190
- Comparing the depths of rings of invariants 189204
- Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti 193208
- Compressions of group actions 199214
- Commutativity of weakly commutative Riemannian homogeneous spaces 203218
- Group actions and quotients for compact Lie groups and algebraic groups 209224
- Notes on invariant rings of divided powers 229244
- Classical covariants and modular invariants 241256
- Classification of nearly closed orbits for the action of semisimple complex linear groups on the projective spaces 251266
- Convex cones and SAGBI bases of permutation invariants 259274
- Some problems in invariant theory 265280
- The Peterson conjecture for algebras of invariants 275290
- Weakly symmetric and weakly commutative spaces 281296
- Back Cover Back Cover1305