| Softcover ISBN: | 978-0-8218-3244-8 |
| Product Code: | CRMP/35 |
| List Price: | $110.00 |
| MAA Member Price: | $99.00 |
| AMS Member Price: | $88.00 |
| Electronic ISBN: | 978-1-4704-3949-1 |
| Product Code: | CRMP/35.E |
| List Price: | $103.00 |
| MAA Member Price: | $92.70 |
| AMS Member Price: | $82.40 |
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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.
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Table of Contents
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Chapters
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A local study of embeddings of complexity one
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Constructive invariant theory
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On global degree bounds for invariants
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On invariant theory of finite groups
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Combinatorics related to orbit closures of symmetric subgroups in flag varieties
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Deformation of symmetric functions and the rational Steenrod algebra
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Cohomology with Grosshans graded coefficients
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The module structure of a group action on a polynomial ring: examples, generalizations, and applications
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An invariant theoretic description of the primitive elements of the mod$-p$ cohomology of a finite loop space which are annihilated by Steenrod operations
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On Noether’s and Weyl’s bound in positive characteristic
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Comparing the depths of rings of invariants
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Moment polytopes of nilpotent orbit closures; dimension and isomorphism of simple modules; and variations on the theme of J. Chipalkatti
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Compressions of group actions
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Commutativity of weakly commutative Riemannian homogeneous spaces
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Group actions and quotients for compact Lie groups and algebraic groups
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Notes on invariant rings of divided powers
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Classical covariants and modular invariants
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Classification of nearly closed orbits for the action of semisimple complex linear groups on the projective spaces
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Convex cones and SAGBI bases of permutation invariants
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Some problems in invariant theory
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The Peterson conjecture for algebras of invariants
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Weakly symmetric and weakly commutative spaces
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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
