Inverse invariant theory and Steenrod operations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2000
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
692 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 146, Number 692 (first of 5 numbers) |
| Physical Description: | IX, 157 S. |
| ISBN: | 0821820915 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Introduction 1
1. The 4 Theorem
1.1 Steenrod Operations 11
1.2 The 4 theorem, Corollaries and Examples 19
2. Some Field Theory over the Steenrod Algebra
2.1 Graded Fields over the Steenrod Algebra 29
2.2 Separable Extensions 32
2.3 Inseparable Extensions 36
2.4 The Vector Space of Derivations 45
3. The Integral Closure Theorem and the Unstable Part
3.1 Rings of Fractions and Their Unstable Part 47
3.2 The Integral Closure Theorem 50
4. The Inseparable Closure
4.1 The Introduction of our Exotic Animal 55
4.2 The Animal and its Properties 62
4.3 Further Properties 71
5. The Embedding Theorem I
5.1 A Dickson Algebra in FF(W) 77
5.2 Preparing the Embedding Theorem apres Smith Switzer 85
5.3 The Embedding Theorem 87
vii
viii Contents
6. Noetherianess, the Embedding Theorem II and Turkish
Delights
6.1 Noetherianess 91
6.2 Turkish Delights 98
6.3 Noetherianess II 100
7. The Galois Embedding Theorem, the Little Imbedding
Theorem and A Bit More
7.1 The Galois Embedding Theorem , 105
7.2 A Bit More 106
7.3 Uniqueness Theorems 109
7.4 The Little Imbedding Theorem 112
8. The Big Imbedding Theorem, Thorn Classes, Turkish De¬
lights II and the Reverse Landweber Stong Conjecture
8.1 The Big Imbedding Theorem 119
8.2 Consequences for the Module of Derivations 133
8.3 Turkish Delights II 135
8.4 The Reverse Landweber Stong Conjecture 137
A. Technical Stuff
A.I Old and New Relations in the Steenrod Algebra 141
A.2 The Action of the Steenrod Algebra on the Dickson Algebra 145
A.3 The Fractal Property of the Dickson Algebra 148
A.4 The Generalized Jacobian 150
References 153
Font and Typesetting Information 157
|
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| discipline | Mathematik |
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| indexdate | 2024-07-09T18:43:36Z |
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| isbn | 0821820915 |
| language | English |
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| physical | IX, 157 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Neusel, Mara Dicle 1964-2014 Verfasser (DE-588)172548616 aut Inverse invariant theory and Steenrod operations Mara D. Neusel Providence, RI American Math. Soc. 2000 IX, 157 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 692 Volume 146, Number 692 (first of 5 numbers) Invariante (DE-588)4128781-2 gnd rswk-swf Steenrod-Algebra (DE-588)4182999-2 gnd rswk-swf Steenrod-Algebra (DE-588)4182999-2 s Invariante (DE-588)4128781-2 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 692 (DE-604)BV008000141 692 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009076915&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neusel, Mara Dicle 1964-2014 Inverse invariant theory and Steenrod operations American Mathematical Society: Memoirs of the American Mathematical Society Invariante (DE-588)4128781-2 gnd Steenrod-Algebra (DE-588)4182999-2 gnd |
| subject_GND | (DE-588)4128781-2 (DE-588)4182999-2 |
| title | Inverse invariant theory and Steenrod operations |
| title_auth | Inverse invariant theory and Steenrod operations |
| title_exact_search | Inverse invariant theory and Steenrod operations |
| title_full | Inverse invariant theory and Steenrod operations Mara D. Neusel |
| title_fullStr | Inverse invariant theory and Steenrod operations Mara D. Neusel |
| title_full_unstemmed | Inverse invariant theory and Steenrod operations Mara D. Neusel |
| title_short | Inverse invariant theory and Steenrod operations |
| title_sort | inverse invariant theory and steenrod operations |
| topic | Invariante (DE-588)4128781-2 gnd Steenrod-Algebra (DE-588)4182999-2 gnd |
| topic_facet | Invariante Steenrod-Algebra |
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