Softcover ISBN:  9780821832448 
Product Code:  CRMP/35 
List Price:  $110.00 
MAA Member Price:  $99.00 
AMS Member Price:  $88.00 
Electronic ISBN:  9781470439491 
Product Code:  CRMP/35.E 
List Price:  $103.00 
MAA Member Price:  $92.70 
AMS Member Price:  $82.40 

Book DetailsCRM Proceedings & Lecture NotesVolume: 35; 2004; 287 ppMSC: Primary 13; 14; 20; 54;
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.ReadershipGraduate students and research mathematicians interested in invariant theory.

Table of Contents

Chapters

A local study of embeddings of complexity one

Constructive invariant theory

On global degree bounds for invariants

On invariant theory of finite groups

Combinatorics related to orbit closures of symmetric subgroups in flag varieties

Deformation of symmetric functions and the rational Steenrod algebra

Cohomology with Grosshans graded coefficients

The module structure of a group action on a polynomial ring: examples, generalizations, and applications

An invariant theoretic description of the primitive elements of the mod$p$ cohomology of a finite loop space which are annihilated by Steenrod operations

On Noether’s and Weyl’s bound in positive characteristic

Comparing the depths of rings of invariants

Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti

Compressions of group actions

Commutativity of weakly commutative Riemannian homogeneous spaces

Group actions and quotients for compact Lie groups and algebraic groups

Notes on invariant rings of divided powers

Classical covariants and modular invariants

Classification of nearly closed orbits for the action of semisimple complex linear groups on the projective spaces

Convex cones and SAGBI bases of permutation invariants

Some problems in invariant theory

The Peterson conjecture for algebras of invariants

Weakly symmetric and weakly commutative spaces


Request Review Copy
 Book Details
 Table of Contents

 Request Review Copy
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.
Graduate students and research mathematicians interested in invariant theory.

Chapters

A local study of embeddings of complexity one

Constructive invariant theory

On global degree bounds for invariants

On invariant theory of finite groups

Combinatorics related to orbit closures of symmetric subgroups in flag varieties

Deformation of symmetric functions and the rational Steenrod algebra

Cohomology with Grosshans graded coefficients

The module structure of a group action on a polynomial ring: examples, generalizations, and applications

An invariant theoretic description of the primitive elements of the mod$p$ cohomology of a finite loop space which are annihilated by Steenrod operations

On Noether’s and Weyl’s bound in positive characteristic

Comparing the depths of rings of invariants

Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti

Compressions of group actions

Commutativity of weakly commutative Riemannian homogeneous spaces

Group actions and quotients for compact Lie groups and algebraic groups

Notes on invariant rings of divided powers

Classical covariants and modular invariants

Classification of nearly closed orbits for the action of semisimple complex linear groups on the projective spaces

Convex cones and SAGBI bases of permutation invariants

Some problems in invariant theory

The Peterson conjecture for algebras of invariants

Weakly symmetric and weakly commutative spaces