Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and Relative Invariants - Finite Generation of Invariants - Construction of Invariants - Poincaré Series - Dimension Theoretic Properties of Rings of Invariants - Homological Properties of Invariants - Groups Generated by Reflections - Modular Invariants - Polynomial Tensor Exterior Algebras - Invariant Theory and…mehr
Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and Relative Invariants - Finite Generation of Invariants - Construction of Invariants - Poincaré Series - Dimension Theoretic Properties of Rings of Invariants - Homological Properties of Invariants - Groups Generated by Reflections - Modular Invariants - Polynomial Tensor Exterior Algebras - Invariant Theory and Algebraic Topology - The Steenrod Algebra and Modular Invariant Theory
Larry Smith is a Professor of Mathematics at Mathematiches Institut der Georg-August-Universitt.
Inhaltsangabe
1. Invariants and Relative Invariants 2. Finite Generation of Invariants 3. Construction of Invariants 4. Poincare Series 5. Dimension Theoretic Properties of Rings of Invariants 6. Homological Properties of Invariants 7. Groups Generated by Reflections 8. Modular Invariants 9. Polynomial Tensor Exterior Algebras 10. Invariant Theory and Algebraic Topology 11. The Steenrod Algebra and Modular Invariant Theory
1. Invariants and Relative Invariants 2. Finite Generation of Invariants 3. Construction of Invariants 4. Poincare Series 5. Dimension Theoretic Properties of Rings of Invariants 6. Homological Properties of Invariants 7. Groups Generated by Reflections 8. Modular Invariants 9. Polynomial Tensor Exterior Algebras 10. Invariant Theory and Algebraic Topology 11. The Steenrod Algebra and Modular Invariant Theory
1. Invariants and Relative Invariants 2. Finite Generation of Invariants 3. Construction of Invariants 4. Poincare Series 5. Dimension Theoretic Properties of Rings of Invariants 6. Homological Properties of Invariants 7. Groups Generated by Reflections 8. Modular Invariants 9. Polynomial Tensor Exterior Algebras 10. Invariant Theory and Algebraic Topology 11. The Steenrod Algebra and Modular Invariant Theory
1. Invariants and Relative Invariants 2. Finite Generation of Invariants 3. Construction of Invariants 4. Poincare Series 5. Dimension Theoretic Properties of Rings of Invariants 6. Homological Properties of Invariants 7. Groups Generated by Reflections 8. Modular Invariants 9. Polynomial Tensor Exterior Algebras 10. Invariant Theory and Algebraic Topology 11. The Steenrod Algebra and Modular Invariant Theory
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