Poisson algebras and poisson manifolds:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman
1988
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
174 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 128 S. |
| ISBN: | 0582019893 0470210761 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV001285109 | ||
| 003 | DE-604 | ||
| 005 | 20200507 | ||
| 007 | t | ||
| 008 | 890328s1988 |||| 00||| eng d | ||
| 020 | |a 0582019893 |9 0-582-01989-3 | ||
| 020 | |a 0470210761 |9 0-470-21076-1 | ||
| 035 | |a (OCoLC)17385997 | ||
| 035 | |a (DE-599)BVBBV001285109 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91 |a DE-384 |a DE-739 |a DE-355 |a DE-188 | ||
| 050 | 0 | |a QA614.3 | |
| 082 | 0 | |a 516.3/62 |2 19 | |
| 082 | 0 | |a 512/.55 |2 19 | |
| 084 | |a SI 880 |0 (DE-625)143209: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a PHY 014f |2 stub | ||
| 084 | |a PHY 012f |2 stub | ||
| 100 | 1 | |a Bhaskara, K. H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Poisson algebras and poisson manifolds |c K. H. Bhaskara & K. Viswanath |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman |c 1988 | |
| 300 | |a 128 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman research notes in mathematics series |v 174 | |
| 650 | 7 | |a Algèbre Poisson |2 Jussieu | |
| 650 | 7 | |a Cohomologie algèbre Lie |2 Jussieu | |
| 650 | 7 | |a Crochet Poisson |2 Jussieu | |
| 650 | 4 | |a Géométrie différentielle globale | |
| 650 | 7 | |a Géométrie différentielle |2 ram | |
| 650 | 7 | |a Poisson, Algèbre de |2 ram | |
| 650 | 4 | |a Poisson, Algèbres de | |
| 650 | 4 | |a Poisson, Variétés de | |
| 650 | 7 | |a Poisson, Variétés de |2 ram | |
| 650 | 4 | |a Schouten, Produits de | |
| 650 | 7 | |a Variété Poisson |2 Jussieu | |
| 650 | 4 | |a Global differential geometry | |
| 650 | 4 | |a Poisson algebras | |
| 650 | 4 | |a Poisson manifolds | |
| 650 | 4 | |a Schouten products | |
| 650 | 0 | 7 | |a Schouten-Produkt |0 (DE-588)4231407-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Poisson-Mannigfaltigkeit |0 (DE-588)4231918-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Globale Differentialgeometrie |0 (DE-588)4021286-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Poisson-Algebra |0 (DE-588)4309234-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Poisson-Algebra |0 (DE-588)4309234-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Schouten-Produkt |0 (DE-588)4231407-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Poisson-Mannigfaltigkeit |0 (DE-588)4231918-3 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Globale Differentialgeometrie |0 (DE-588)4021286-5 |D s |
| 689 | 3 | |5 DE-604 | |
| 700 | 1 | |a Viswanath, K. |e Verfasser |4 aut | |
| 830 | 0 | |a Pitman research notes in mathematics series |v 174 |w (DE-604)BV000022845 |9 174 | |
| 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=000774856&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000774856 | ||
Datensatz im Suchindex
| _version_ | 1804115676842950656 |
|---|---|
| adam_text | Contents
Preface
0. Poisson algebras 1
1. Symmetric Schouten products 7
§1. Symmetric Schouten products of multilinear maps 8
§2. Symmetric Schouten products of multiderivations 21
§3. Symmetric Schouten products of contravariant tensors 28
§4. The Poisson algebra of a Lie group 32
§5. Poisson filtered algebras 35
§6. Differential operators on algebras 37
§7. Differential operators on manifolds 39
§8. Symbols of differential operators 41
2. Alternating Schouten products 44
§1. Alternating Schouten products of multilinear maps 44
§2. Cohomology of Lie algebras 51
§3. Alternating Schouten products of multiderivations 53
§4. Cohomology of Poisson algebras 58
§5. Alternating Schouten products of contravariant tensors 63
§6. The Lie Poisson structure 67
§7. The approach of Tulczjew and Lichnerowicz 68
3. Poisson manifolds 71
§1. Poisson manifolds 72
§2. Poisson manifolds of constant rank 77
§3. The structure of Poisson manifolds 83
§4. Local characterization 88
§5. Dirac brackets 90
§6. Dirac theory of constraints 92
§7. Poisson reduction 98
4. Calculus on Poisson manifolds 103
1. The Lie bracket of 1 forms on a Poisson manifold 103
2. Calculus on Poisson manifolds 107
3. Poisson morphisms 114
References 121
Index 127
|
| any_adam_object | 1 |
| author | Bhaskara, K. H. Viswanath, K. |
| author_facet | Bhaskara, K. H. Viswanath, K. |
| author_role | aut aut |
| author_sort | Bhaskara, K. H. |
| author_variant | k h b kh khb k v kv |
| building | Verbundindex |
| bvnumber | BV001285109 |
| callnumber-first | Q - Science |
| callnumber-label | QA614 |
| callnumber-raw | QA614.3 |
| callnumber-search | QA614.3 |
| callnumber-sort | QA 3614.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 370 |
| classification_tum | PHY 014f PHY 012f |
| ctrlnum | (OCoLC)17385997 (DE-599)BVBBV001285109 |
| dewey-full | 516.3/62 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 512 - Algebra |
| dewey-raw | 516.3/62 512/.55 |
| dewey-search | 516.3/62 512/.55 |
| dewey-sort | 3516.3 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02732nam a2200733 cb4500</leader><controlfield tag="001">BV001285109</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200507 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890328s1988 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0582019893</subfield><subfield code="9">0-582-01989-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0470210761</subfield><subfield code="9">0-470-21076-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)17385997</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV001285109</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-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA614.3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/62</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 880</subfield><subfield code="0">(DE-625)143209:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 014f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 012f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bhaskara, K. H.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Poisson algebras and poisson manifolds</subfield><subfield code="c">K. H. Bhaskara & K. Viswanath</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Harlow, Essex</subfield><subfield code="b">Longman</subfield><subfield code="c">1988</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">128 S.</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">Pitman research notes in mathematics series</subfield><subfield code="v">174</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algèbre Poisson</subfield><subfield code="2">Jussieu</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Cohomologie algèbre Lie</subfield><subfield code="2">Jussieu</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Crochet Poisson</subfield><subfield code="2">Jussieu</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Géométrie différentielle globale</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Géométrie différentielle</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Poisson, Algèbre de</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Poisson, Algèbres de</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Poisson, Variétés de</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Poisson, Variétés de</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Schouten, Produits de</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Variété Poisson</subfield><subfield code="2">Jussieu</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global differential geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Poisson algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Poisson manifolds</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Schouten products</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schouten-Produkt</subfield><subfield code="0">(DE-588)4231407-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Poisson-Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4231918-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Globale Differentialgeometrie</subfield><subfield code="0">(DE-588)4021286-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Poisson-Algebra</subfield><subfield code="0">(DE-588)4309234-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Poisson-Algebra</subfield><subfield code="0">(DE-588)4309234-2</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">Schouten-Produkt</subfield><subfield code="0">(DE-588)4231407-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Poisson-Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4231918-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Globale Differentialgeometrie</subfield><subfield code="0">(DE-588)4021286-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Viswanath, K.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pitman research notes in mathematics series</subfield><subfield code="v">174</subfield><subfield code="w">(DE-604)BV000022845</subfield><subfield code="9">174</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=000774856&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000774856</subfield></datafield></record></collection> |
| id | DE-604.BV001285109 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:26:24Z |
| institution | BVB |
| isbn | 0582019893 0470210761 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000774856 |
| oclc_num | 17385997 |
| open_access_boolean | |
| owner | DE-12 DE-91 DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-188 |
| owner_facet | DE-12 DE-91 DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-188 |
| physical | 128 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Bhaskara, K. H. Verfasser aut Poisson algebras and poisson manifolds K. H. Bhaskara & K. Viswanath 1. publ. Harlow, Essex Longman 1988 128 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 174 Algèbre Poisson Jussieu Cohomologie algèbre Lie Jussieu Crochet Poisson Jussieu Géométrie différentielle globale Géométrie différentielle ram Poisson, Algèbre de ram Poisson, Algèbres de Poisson, Variétés de Poisson, Variétés de ram Schouten, Produits de Variété Poisson Jussieu Global differential geometry Poisson algebras Poisson manifolds Schouten products Schouten-Produkt (DE-588)4231407-0 gnd rswk-swf Poisson-Mannigfaltigkeit (DE-588)4231918-3 gnd rswk-swf Globale Differentialgeometrie (DE-588)4021286-5 gnd rswk-swf Poisson-Algebra (DE-588)4309234-2 gnd rswk-swf Poisson-Algebra (DE-588)4309234-2 s DE-604 Schouten-Produkt (DE-588)4231407-0 s Poisson-Mannigfaltigkeit (DE-588)4231918-3 s Globale Differentialgeometrie (DE-588)4021286-5 s Viswanath, K. Verfasser aut Pitman research notes in mathematics series 174 (DE-604)BV000022845 174 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000774856&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bhaskara, K. H. Viswanath, K. Poisson algebras and poisson manifolds Pitman research notes in mathematics series Algèbre Poisson Jussieu Cohomologie algèbre Lie Jussieu Crochet Poisson Jussieu Géométrie différentielle globale Géométrie différentielle ram Poisson, Algèbre de ram Poisson, Algèbres de Poisson, Variétés de Poisson, Variétés de ram Schouten, Produits de Variété Poisson Jussieu Global differential geometry Poisson algebras Poisson manifolds Schouten products Schouten-Produkt (DE-588)4231407-0 gnd Poisson-Mannigfaltigkeit (DE-588)4231918-3 gnd Globale Differentialgeometrie (DE-588)4021286-5 gnd Poisson-Algebra (DE-588)4309234-2 gnd |
| subject_GND | (DE-588)4231407-0 (DE-588)4231918-3 (DE-588)4021286-5 (DE-588)4309234-2 |
| title | Poisson algebras and poisson manifolds |
| title_auth | Poisson algebras and poisson manifolds |
| title_exact_search | Poisson algebras and poisson manifolds |
| title_full | Poisson algebras and poisson manifolds K. H. Bhaskara & K. Viswanath |
| title_fullStr | Poisson algebras and poisson manifolds K. H. Bhaskara & K. Viswanath |
| title_full_unstemmed | Poisson algebras and poisson manifolds K. H. Bhaskara & K. Viswanath |
| title_short | Poisson algebras and poisson manifolds |
| title_sort | poisson algebras and poisson manifolds |
| topic | Algèbre Poisson Jussieu Cohomologie algèbre Lie Jussieu Crochet Poisson Jussieu Géométrie différentielle globale Géométrie différentielle ram Poisson, Algèbre de ram Poisson, Algèbres de Poisson, Variétés de Poisson, Variétés de ram Schouten, Produits de Variété Poisson Jussieu Global differential geometry Poisson algebras Poisson manifolds Schouten products Schouten-Produkt (DE-588)4231407-0 gnd Poisson-Mannigfaltigkeit (DE-588)4231918-3 gnd Globale Differentialgeometrie (DE-588)4021286-5 gnd Poisson-Algebra (DE-588)4309234-2 gnd |
| topic_facet | Algèbre Poisson Cohomologie algèbre Lie Crochet Poisson Géométrie différentielle globale Géométrie différentielle Poisson, Algèbre de Poisson, Algèbres de Poisson, Variétés de Schouten, Produits de Variété Poisson Global differential geometry Poisson algebras Poisson manifolds Schouten products Schouten-Produkt Poisson-Mannigfaltigkeit Globale Differentialgeometrie Poisson-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000774856&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT bhaskarakh poissonalgebrasandpoissonmanifolds AT viswanathk poissonalgebrasandpoissonmanifolds |