Operads, algebras, modules and motives:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Paris
Soc. Math. de France
1995
|
| Series: | Astérisque
233 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 145 S. graph. Darst. |
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Record in the Search Index
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| adam_text | 233 ASTERISQUE 1995 OPERADS, ALGEBRAS, MODULES AND MOTIVES I. KRIZ AND
J.P. MAY SOCIETE MATHEMATIQUE DE FRANCE PUBLIE AVEC LE CONOOURS DU
CENTRE NATIONAL DE LA RECHERCHE SC1ENT1F1QUE OPERADS, ALGEBRAS, MODULES,
AND MOTIVES CONTENTS INTRODUCTION 3 PART I. DEFINITIONS AND EXAMPLES OF
OPERADS AND OPERAD ACTIONS 11 1. OPERADS 12 2. ALGEBRAS OVER OPERADS 14
3. MONADIC REINTERPRETATION OF ALGEBRAS 17 4. MODULES OVER C-ALGEBRAS 20
5. ALGEBRAIC OPERADS ASSOCIATED TO TOPOLOGICAL OPERADS 24 6. OPERADS,
LOOP SPACES, N-LIE ALGEBRAS, AND N-BRAID ALGEBRAS 27 7. HOMOLOGY
OPERATIONS IN CHARACTERISTIC P 31 PART II. PARTIAL ALGEBRAIC STRUCTURES
AND CONVERSION THEOREMS 35 1. STATEMENTS OF THE CONVERSION THEOREMS 36
2. PARTIAL ALGEBRAS AND MODULES 37 3. MONADIC REINTERPRETATION OF
PARTIAL ALGEBRAS AND MODULES 43 4. THE TWO-SIDED BAR CONSTRUCTION AND
THE CONVERSION THEOREMS 46 5. TOTALIZATION AND DIAGONAL FUNCTORS; PROOFS
49 6. HIGHER CHOW COMPLEXES 53 PART III. DERIVED CATEGORIES FROM A
TOPOLOGICAL POINT OF VIEW 57 1. CELL A-MODULES 58 2. WHITEHEAD S THEOREM
AND THE DERIVED CATEGORY 62 3. BROWN S REPRESENTABILITY THEOREM 65 4.
DERIVED TENSOR PRODUCT AND HORN FUNCTORS: TOR AND EXT 67 5. COMMUTATIVE
DGA S AND DUALITY 71 6. RELATIVE AND UNITAL CELL ^4-MODULES 73 PART IV.
RATIONAL DERIVED CATEGORIES AND MIXED TATE MOTIVES 75 1. STATEMENTS OF
RESULTS 75 2. MINIMAL ALGEBRAS, 1-MINIMAL MODELS, AND CO-LIE ALGEBRAS 80
3. MINIMAL ^-MODULES 82 4. THE T-STRUCTURE ON D A 85 5. TWISTING
MATRICES AND REPRESENTATIONS OF CO-LIE ALGEBRAS 87 6. THE BAR
CONSTRUCTION AND THE HOPF ALGEBRA XA 91 7. THE DERIVED CATEGORY OF THE
HEART AND THE 1-MINIMAL MODEL 93 PART V. DERIVED CATEGORIES OF MODULES
OVER E^ ALGEBRAS 101 1. THE CATEGORY OF C-MODULES AND THE PRODUCT E3 103
2. UNITAL C-MODULES AND THE PRODUCTS , , AND * 108 3. A NEW
DESCRIPTION OF A^ AND EOO ALGEBRAS AND MODULES 112 4. CELL A-MODULES AND
THE DERIVED CATEGORY OF A-MODULES 116 5. THE TENSOR PRODUCT OF A-MODULES
119 6. THE HORN FUNCTOR ON ^4-MODULES; UNITAL YL-MODULES 123 7.
GENERALIZED EILENBERG-MOORE SPECTRAL SEQUENCES 126 8. EAC ALGEBRAS AND
DUALITY 130 9. THE LINEAR ISOMETRIES OPERAD; CHANGE OF OPERADS 134
BIBLIOGRAPHY 139 INDEX 143
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:33Z |
| institution | BVB |
| language | English |
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| physical | 145 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Soc. Math. de France |
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| series | Astérisque |
| series2 | Astérisque |
| spelling | Kriz, Igor Verfasser aut Operads, algebras, modules and motives I. Kriz and J. P. May Paris Soc. Math. de France 1995 145 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Astérisque 233 Algebraïsche meetkunde gtt Algèbre homologique K-theorie gtt Algebra, Homological Motiv Mathematik (DE-588)4197596-0 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Modultheorie (DE-588)4170336-4 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Motiv Mathematik (DE-588)4197596-0 s DE-604 Algebra (DE-588)4001156-2 s Modultheorie (DE-588)4170336-4 s May, Jon Peter 1939- Verfasser (DE-588)122391810 aut Astérisque 233 (DE-604)BV002579439 233 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007191242&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kriz, Igor May, Jon Peter 1939- Operads, algebras, modules and motives Astérisque Algebraïsche meetkunde gtt Algèbre homologique K-theorie gtt Algebra, Homological Motiv Mathematik (DE-588)4197596-0 gnd Algebra (DE-588)4001156-2 gnd Modultheorie (DE-588)4170336-4 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4197596-0 (DE-588)4001156-2 (DE-588)4170336-4 (DE-588)4001161-6 |
| title | Operads, algebras, modules and motives |
| title_auth | Operads, algebras, modules and motives |
| title_exact_search | Operads, algebras, modules and motives |
| title_full | Operads, algebras, modules and motives I. Kriz and J. P. May |
| title_fullStr | Operads, algebras, modules and motives I. Kriz and J. P. May |
| title_full_unstemmed | Operads, algebras, modules and motives I. Kriz and J. P. May |
| title_short | Operads, algebras, modules and motives |
| title_sort | operads algebras modules and motives |
| topic | Algebraïsche meetkunde gtt Algèbre homologique K-theorie gtt Algebra, Homological Motiv Mathematik (DE-588)4197596-0 gnd Algebra (DE-588)4001156-2 gnd Modultheorie (DE-588)4170336-4 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Algebraïsche meetkunde Algèbre homologique K-theorie Algebra, Homological Motiv Mathematik Algebra Modultheorie Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007191242&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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