Inverse invariant theory and Steenrod operations

This book is intended for researchers and graduate students in commutative algebra, algebraic topology and invariant theory.

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Bibliographic Details
Main Author Neusel, Mara D
Format eBook
LanguageEnglish
Published Providence, R.I American Mathematical Society 2000
Edition1
SeriesMemoirs of the American Mathematical Society
Subjects
Invariants
Steenrod algebra
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Abstract This book is intended for researchers and graduate students in commutative algebra, algebraic topology and invariant theory.
AbstractList This book is intended for researchers and graduate students in commutative algebra, algebraic topology and invariant theory.
Author Neusel, Mara D
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Notes Access is restricted to licensed institutions
Includes bibliographical references (p. 153-155).
Electronic reproduction.
Providence, Rhode Island
Description based on print version record.
American Mathematical Society.
2012
July 2000, volume 146, number 692 (first of 5 numbers).
Mode of access : World Wide Web
OCLC 922965059
PQID EBC3114444
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PublicationSeriesTitle Memoirs of the American Mathematical Society
PublicationYear 2000
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Snippet This book is intended for researchers and graduate students in commutative algebra, algebraic topology and invariant theory.
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SubjectTerms Invariants
Steenrod algebra
TableOfContents Introduction 1. The $\Delta $-theorem 2. Some field theory over the Steenrod algebra 3. The integral closure theorem and the unstable part 4. The inseparable closure 5. The embedding theorem I 6. Noetherianess, the embedding theorem II and Turkish delights 7. The Galois embedding theorem, the little imbedding theorem, and a bit more 8. The big imbedding theorem, Thom classes, Turkish delights II and the reverse Landweber-Stong conjecture
Intro -- Contents -- Introduction -- 1. The Δ…Theorem -- 1.1 Steenrod Operations -- 1.2 The Δ…theorem, Corollaries and Examples -- 2. Some Field Theory over the Steenrod Algebra -- 2.1 Graded Fields over the Steenrod Algebra -- 2.2 Separable Extensions -- 2.3 Inseparable Extensions -- 2.4 The Vector Space of Derivations -- 3. The Integral Closure Theorem and the Unstable Part -- 3.1 Rings of Fractions and Their Unstable Part -- 3.2 The Integral Closure Theorem -- 4. The Inseparable Closure -- 4.1 The Introduction of our Exotic Animal -- 4.2 The Animal and its Properties -- 4.3 Further Properties -- 5. The Embedding Theorem I -- 5.1 A Dickson Algebra in FF(H*) -- 5.2 Preparing the Embedding Theorem apres Smith-Switzer -- 5.3 The Embedding Theorem -- 6. Noetherianess, the Embedding Theorem II and Turkish Delights -- 6.1 Noetherianess -- 6.2 Turkish Delights -- 6.3 Noetherianess II -- 7. The Galois Embedding Theorem, the Little Imbedding Theorem and A Bit More -- 7.1 The Galois Embedding Theorem -- 7.2 A Bit More -- 7.3 Uniqueness Theorems -- 7.4 The Little Imbedding Theorem -- 8. The Big Imbedding Theorem, Thom Classes, Turkish Delights II and the Reverse Landweber-Stong Conjecture -- 8.1 The Big Imbedding Theorem -- 8.2 Consequences for the Module of Derivations -- 8.3 Turkish Delights II -- 8.4 The Reverse Landweber-Stong Conjecture -- A. Technical Stuff -- A.1 Old and New Relations in the Steenrod Algebra -- A.2 The Action of the Steenrod Algebra on the Dickson Algebra -- A.3 The Fractal Property of the Dickson Algebra -- A.4 The Generalized Jacobian -- References -- Font and Typesetting Information
Title Inverse invariant theory and Steenrod operations
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