Continuous cohomology of the Lie algebra of vector fields
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1981
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
253 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV006389156 | ||
| 003 | DE-604 | ||
| 005 | 20160126 | ||
| 007 | t| | ||
| 008 | 930210s1981 xx d||| |||| 00||| eng d | ||
| 035 | |a (OCoLC)225003708 | ||
| 035 | |a (DE-599)BVBBV006389156 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-739 |a DE-355 |a DE-29T |a DE-19 |a DE-12 |a DE-703 |a DE-824 |a DE-91G |a DE-706 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 050 | 0 | |a QA613.619 | |
| 082 | 0 | |a 512/.55 |2 19 | |
| 082 | 0 | |a 510 |2 19 | |
| 100 | 1 | |a Tsujishita, Toru |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Continuous cohomology of the Lie algebra of vector fields |c Toru Tsujishita |
| 264 | 1 | |a Providence, RI |c 1981 | |
| 300 | |a IV, 154 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 253 | |
| 500 | |a Volume 34, Number 253 (fourth of 5 numbers) | ||
| 650 | 4 | |a Champs vectoriels | |
| 650 | 4 | |a Homologie | |
| 650 | 4 | |a Lie, Algèbres de | |
| 650 | 0 | 7 | |a Vektorfeld |0 (DE-588)4139571-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Algebra |0 (DE-588)4130355-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stetige Kohomologie |0 (DE-588)4183163-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lie-Algebra |0 (DE-588)4130355-6 |D s |
| 689 | 0 | 1 | |a Stetige Kohomologie |0 (DE-588)4183163-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Lie-Algebra |0 (DE-588)4130355-6 |D s |
| 689 | 1 | 1 | |a Vektorfeld |0 (DE-588)4139571-2 |D s |
| 689 | 1 | 2 | |a Stetige Kohomologie |0 (DE-588)4183163-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 253 |w (DE-604)BV008000141 |9 253 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004044857&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-004044857 | |
| 980 | 4 | |a (DE-12)AK22470687 | |
Datensatz im Suchindex
| DE-19_call_number | 1601/SI 810-253 |
|---|---|
| DE-19_location | 95 |
| DE-BY-TUM_katkey | 1564998 |
| DE-BY-UBM_katkey | 2872509 |
| DE-BY-UBM_media_number | 41603197170016 |
| DE-BY-UBR_katkey | 1130015 |
| _version_ | 1823052658399772672 |
| adam_text | TABLE OP CONTENTS
Notations yjl
Introduction 1
Section 1. Distributions 7
1.1. Definitions 7
1.2. Kernel theorems 7
1.3. Decomposition lemma 8
Section 2. Differential homological algebra 10
2.1. Definitions 10
2.2. Twisted tensor products 14
2.3. Minimal extensions of differential graded algebras IS
2.4. Differential graded modules with group actions 18
2.5. Koszul differential graded modules ..... 19
2.6. Kiinneth theorems 20
2.7. Differential torsion products 21
2.8. Simplicial de Rham functor 25
2.9. Differential graded modules over a manifold 26
Section 3. Lie algebra cohomblogy 28
3.1. Definitions 28
3.2. Differential graded modules with Lie algebra actions 31
3.3. Cohomology of Lfl 32
3.4. Weil algebras 34
Section 4. Frame bundles of manifolds 37
4.1. Group of formal diffeomorphisffls 57
4.2. Frame bundles 38
Section 5. Statements of the main results 41
5.1. The fundamental theorem 41
5.2. Topological interpretation of H(LM, FH3 44
5.3. Compact support coefficients ..... 47
5.4. Distribution coefficients 47
5.5. The case of 1^ 50
iv TORU TSUJISHITA
Section 6. Diagonal cohomologies 52
6.1. Guillemin Losik Theorem 52
6.2. A strong form of Guillemin Losik Theorem 56
6.3. Losik Theorem 60
6.4. Distribution coefficients 64
Section 7. Haefliger Theorem 67
Section 8. Proof of Theorem 1 70
Section 9. Proof of Theorem II 96
Section 10. Proof of Theorem(l. 3.1) 133
References 152
|
| any_adam_object | 1 |
| author | Tsujishita, Toru |
| author_facet | Tsujishita, Toru |
| author_role | aut |
| author_sort | Tsujishita, Toru |
| author_variant | t t tt |
| building | Verbundindex |
| bvnumber | BV006389156 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 QA613.619 |
| callnumber-search | QA3 QA613.619 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)225003708 (DE-599)BVBBV006389156 |
| dewey-full | 512/.55 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.55 510 |
| dewey-search | 512/.55 510 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02036nam a2200517 cb4500</leader><controlfield tag="001">BV006389156</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160126 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">930210s1981 xx d||| |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)225003708</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV006389156</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA613.619</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Tsujishita, Toru</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Continuous cohomology of the Lie algebra of vector fields</subfield><subfield code="c">Toru Tsujishita</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="c">1981</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IV, 154 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">253</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 34, Number 253 (fourth of 5 numbers)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Champs vectoriels</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homologie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lie, Algèbres de</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Vektorfeld</subfield><subfield code="0">(DE-588)4139571-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lie-Algebra</subfield><subfield code="0">(DE-588)4130355-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stetige Kohomologie</subfield><subfield code="0">(DE-588)4183163-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lie-Algebra</subfield><subfield code="0">(DE-588)4130355-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Stetige Kohomologie</subfield><subfield code="0">(DE-588)4183163-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Lie-Algebra</subfield><subfield code="0">(DE-588)4130355-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Vektorfeld</subfield><subfield code="0">(DE-588)4139571-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Stetige Kohomologie</subfield><subfield code="0">(DE-588)4183163-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">253</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">253</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004044857&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-www</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-004044857</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK22470687</subfield></datafield></record></collection> |
| id | DE-604.BV006389156 |
| illustrated | Illustrated |
| indexdate | 2025-02-03T16:57:40Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004044857 |
| oclc_num | 225003708 |
| open_access_boolean | |
| owner | DE-739 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-12 DE-703 DE-824 DE-91G DE-BY-TUM DE-706 DE-83 DE-188 |
| owner_facet | DE-739 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-12 DE-703 DE-824 DE-91G DE-BY-TUM DE-706 DE-83 DE-188 |
| physical | IV, 154 S. graph. Darst. |
| psigel | TUB-www |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Tsujishita, Toru Continuous cohomology of the Lie algebra of vector fields American Mathematical Society: Memoirs of the American Mathematical Society Champs vectoriels Homologie Lie, Algèbres de Vektorfeld (DE-588)4139571-2 gnd Lie-Algebra (DE-588)4130355-6 gnd Stetige Kohomologie (DE-588)4183163-9 gnd |
| subject_GND | (DE-588)4139571-2 (DE-588)4130355-6 (DE-588)4183163-9 |
| title | Continuous cohomology of the Lie algebra of vector fields |
| title_auth | Continuous cohomology of the Lie algebra of vector fields |
| title_exact_search | Continuous cohomology of the Lie algebra of vector fields |
| title_full | Continuous cohomology of the Lie algebra of vector fields Toru Tsujishita |
| title_fullStr | Continuous cohomology of the Lie algebra of vector fields Toru Tsujishita |
| title_full_unstemmed | Continuous cohomology of the Lie algebra of vector fields Toru Tsujishita |
| title_short | Continuous cohomology of the Lie algebra of vector fields |
| title_sort | continuous cohomology of the lie algebra of vector fields |
| topic | Champs vectoriels Homologie Lie, Algèbres de Vektorfeld (DE-588)4139571-2 gnd Lie-Algebra (DE-588)4130355-6 gnd Stetige Kohomologie (DE-588)4183163-9 gnd |
| topic_facet | Champs vectoriels Homologie Lie, Algèbres de Vektorfeld Lie-Algebra Stetige Kohomologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004044857&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT tsujishitatoru continuouscohomologyoftheliealgebraofvectorfields |