Fundamental Domains for Finite Subgroups in U(2) and Configurations of Lagrangians View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-12

AUTHORS

Elisha Falbel, Julien Paupert

ABSTRACT

We show that every finite subgroup of U(2) is contained with index two in a group generated by involutions fixing Lagrangian planes. We describe fundamental domains for their action on related to the configuration of these Lagrangian planes.

PAGES

221-238

Journal

TITLE

Geometriae Dedicata

ISSUE

1

VOLUME

109

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10711-004-2455-2

DOI

http://dx.doi.org/10.1007/s10711-004-2455-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1052570959


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "author": [
      {
        "affiliation": {
          "alternateName": "Sorbonne University", 
          "id": "https://www.grid.ac/institutes/grid.462844.8", 
          "name": [
            "Institut de Math\u00e9matiques, Universit\u00e9 Pierre et Marie Curie, 4 place Jussieu, F-75252, Paris"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Falbel", 
        "givenName": "Elisha", 
        "id": "sg:person.012700305257.20", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012700305257.20"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Sorbonne University", 
          "id": "https://www.grid.ac/institutes/grid.462844.8", 
          "name": [
            "Institut de Math\u00e9matiques, Universit\u00e9 Pierre et Marie Curie, 4 place Jussieu, F-75252, Paris"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Paupert", 
        "givenName": "Julien", 
        "id": "sg:person.0675540674.53", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0675540674.53"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0166-8641(91)90033-i", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009626855"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0166-8641(91)90033-i", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009626855"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1515/crll.1999.082", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025130388"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2140/pjm.1980.86.171", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069067719"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4153/cjm-1954-028-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072263928"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4153/cmb-2001-041-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072272385"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1201/9781439864180", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1109612281"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2004-12", 
    "datePublishedReg": "2004-12-01", 
    "description": "We show that every finite subgroup of U(2) is contained with index two in a group generated by involutions fixing Lagrangian planes. We describe fundamental domains for their action on related to the configuration of these Lagrangian planes.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s10711-004-2455-2", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1135919", 
        "issn": [
          "0046-5755", 
          "1572-9168"
        ], 
        "name": "Geometriae Dedicata", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "109"
      }
    ], 
    "name": "Fundamental Domains for Finite Subgroups in U(2) and Configurations of Lagrangians", 
    "pagination": "221-238", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "fa699c8dbd92bf7f039da70c2be531b39e275196246bfa19733fc28df33de977"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s10711-004-2455-2"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1052570959"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s10711-004-2455-2", 
      "https://app.dimensions.ai/details/publication/pub.1052570959"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T11:32", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000357_0000000357/records_99323_00000001.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs10711-004-2455-2"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s10711-004-2455-2'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s10711-004-2455-2'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10711-004-2455-2'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10711-004-2455-2'


 

This table displays all metadata directly associated to this object as RDF triples.

78 TRIPLES      20 PREDICATES      31 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s10711-004-2455-2 schema:author N09d8fd0e731749edacc6d32d1cb433f4
2 schema:citation https://doi.org/10.1016/0166-8641(91)90033-i
3 https://doi.org/10.1201/9781439864180
4 https://doi.org/10.1515/crll.1999.082
5 https://doi.org/10.2140/pjm.1980.86.171
6 https://doi.org/10.4153/cjm-1954-028-3
7 https://doi.org/10.4153/cmb-2001-041-8
8 schema:datePublished 2004-12
9 schema:datePublishedReg 2004-12-01
10 schema:description We show that every finite subgroup of U(2) is contained with index two in a group generated by involutions fixing Lagrangian planes. We describe fundamental domains for their action on related to the configuration of these Lagrangian planes.
11 schema:genre research_article
12 schema:inLanguage en
13 schema:isAccessibleForFree true
14 schema:isPartOf N2e56b4d097d24c3c85f03e71478ba886
15 N66c7267ab15843a28bd2e9666ec16f45
16 sg:journal.1135919
17 schema:name Fundamental Domains for Finite Subgroups in U(2) and Configurations of Lagrangians
18 schema:pagination 221-238
19 schema:productId N2bb3e1ffbd794e9eaccbe36e2aa5e022
20 N42a1351ac1ff4306b9aa445d299654c4
21 N510d7b88b0eb4c248989202197c434ac
22 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052570959
23 https://doi.org/10.1007/s10711-004-2455-2
24 schema:sdDatePublished 2019-04-11T11:32
25 schema:sdLicense https://scigraph.springernature.com/explorer/license/
26 schema:sdPublisher Naa51de9921824afe9071f945c4bc8010
27 schema:url http://link.springer.com/10.1007%2Fs10711-004-2455-2
28 sgo:license sg:explorer/license/
29 sgo:sdDataset articles
30 rdf:type schema:ScholarlyArticle
31 N09d8fd0e731749edacc6d32d1cb433f4 rdf:first sg:person.012700305257.20
32 rdf:rest N653036866e414f9993facd38aeada69e
33 N2bb3e1ffbd794e9eaccbe36e2aa5e022 schema:name doi
34 schema:value 10.1007/s10711-004-2455-2
35 rdf:type schema:PropertyValue
36 N2e56b4d097d24c3c85f03e71478ba886 schema:issueNumber 1
37 rdf:type schema:PublicationIssue
38 N42a1351ac1ff4306b9aa445d299654c4 schema:name dimensions_id
39 schema:value pub.1052570959
40 rdf:type schema:PropertyValue
41 N510d7b88b0eb4c248989202197c434ac schema:name readcube_id
42 schema:value fa699c8dbd92bf7f039da70c2be531b39e275196246bfa19733fc28df33de977
43 rdf:type schema:PropertyValue
44 N653036866e414f9993facd38aeada69e rdf:first sg:person.0675540674.53
45 rdf:rest rdf:nil
46 N66c7267ab15843a28bd2e9666ec16f45 schema:volumeNumber 109
47 rdf:type schema:PublicationVolume
48 Naa51de9921824afe9071f945c4bc8010 schema:name Springer Nature - SN SciGraph project
49 rdf:type schema:Organization
50 sg:journal.1135919 schema:issn 0046-5755
51 1572-9168
52 schema:name Geometriae Dedicata
53 rdf:type schema:Periodical
54 sg:person.012700305257.20 schema:affiliation https://www.grid.ac/institutes/grid.462844.8
55 schema:familyName Falbel
56 schema:givenName Elisha
57 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012700305257.20
58 rdf:type schema:Person
59 sg:person.0675540674.53 schema:affiliation https://www.grid.ac/institutes/grid.462844.8
60 schema:familyName Paupert
61 schema:givenName Julien
62 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0675540674.53
63 rdf:type schema:Person
64 https://doi.org/10.1016/0166-8641(91)90033-i schema:sameAs https://app.dimensions.ai/details/publication/pub.1009626855
65 rdf:type schema:CreativeWork
66 https://doi.org/10.1201/9781439864180 schema:sameAs https://app.dimensions.ai/details/publication/pub.1109612281
67 rdf:type schema:CreativeWork
68 https://doi.org/10.1515/crll.1999.082 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025130388
69 rdf:type schema:CreativeWork
70 https://doi.org/10.2140/pjm.1980.86.171 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069067719
71 rdf:type schema:CreativeWork
72 https://doi.org/10.4153/cjm-1954-028-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072263928
73 rdf:type schema:CreativeWork
74 https://doi.org/10.4153/cmb-2001-041-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072272385
75 rdf:type schema:CreativeWork
76 https://www.grid.ac/institutes/grid.462844.8 schema:alternateName Sorbonne University
77 schema:name Institut de Mathématiques, Université Pierre et Marie Curie, 4 place Jussieu, F-75252, Paris
78 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...