Ontology type: schema:MonetaryGrant

2007-2009

250000 CNY

We study a relation between the generic extension graph of representations of a Dynkin quiver and the global crystal graph of its corresponding quantum enveloping algebra. We determine the generators and relations of the generic extension monoid of nilpotent representations of a cyclic quiver. We prove that Ringel-Hall algebras satisfy the fundamental relations in a more general setting and relate the Ringel-Hall algebra of an algebra with those of its quotient algebras. We present applications of Frobenius morphsim theory in the derived categories and stable module categories of repetitive categories of algebras, as well as to study the relationship among monomial, PBW and canonical bases for a non-simply laced quantum enveloping algebra of finite type. We give a criterion for a monomial in an arbitrary quantum enveloping algebra to be tight. We use the Hall algebras of cyclic quivers to study affine quantum Schur-Weyl theory. Using the deformed preprojective algebras, we study irreducible representations of a restricted quantum group. We describe the crystal graphs of representations of a class of quantum superalgebras in terms of Young tableaux. We also study the entwining structure of monods and comonods, and classify infinite dimensional pointed Hopf algebras of GK-dimnesion two and three. Write jointly a b More... »

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",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/2201",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"type": "DefinedTerm"
}
],
"amount": {
"currency": "CNY",
"type": "MonetaryAmount",
"value": "250000"
},
"description": "We study a relation between the generic extension graph of representations of a Dynkin quiver and the global crystal graph of its corresponding quantum enveloping algebra. We determine the generators and relations of the generic extension monoid of nilpotent representations of a cyclic quiver. We prove that Ringel-Hall algebras satisfy the fundamental relations in a more general setting and relate the Ringel-Hall algebra of an algebra with those of its quotient algebras. We present applications of Frobenius morphsim theory in the derived categories and stable module categories of repetitive categories of algebras, as well as to study the relationship among monomial, PBW and canonical bases for a non-simply laced quantum enveloping algebra of finite type. We give a criterion for a monomial in an arbitrary quantum enveloping algebra to be tight. We use the Hall algebras of cyclic quivers to study affine quantum Schur-Weyl theory. Using the deformed preprojective algebras, we study irreducible representations of a restricted quantum group. We describe the crystal graphs of representations of a class of quantum superalgebras in terms of Young tableaux. We also study the entwining structure of monods and comonods, and classify infinite dimensional pointed Hopf algebras of GK-dimnesion two and three. Write jointly a b",
"endDate": "2009-12-31T00:00:00Z",
"funder": {
"id": "https://www.grid.ac/institutes/grid.419696.5",
"type": "Organization"
},
"id": "sg:grant.4949173",
"identifier": [
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"4949173"
]
},
{
"name": "nsfc_id",
"type": "PropertyValue",
"value": [
"10671016"
]
}
],
"inLanguage": [
"zh"
],
"keywords": [
"representation",
"deformed preprojective algebras",
"relationship",
"stable module category",
"algebra",
"quantum groups",
"repetitive categories",
"Hall Algebras",
"GK-dimnesion two",
"arbitrary quantum",
"generic extension monoid",
"derived category",
"generator",
"cyclic quiver",
"general setting",
"Young tableaux",
"monomials",
"terms",
"non",
"generic extension graph",
"relation",
"quotient algebra",
"Hopf algebras",
"entwining structure",
"comonods",
"criteria",
"class",
"quantum Schur-Weyl theory",
"Dynkin quivers",
"irreducible representations",
"present applications",
"affine",
"Frobenius morphsim theory",
"canonical bases",
"quantum superalgebras",
"Monod",
"crystal graphs",
"fundamental relations",
"clusters",
"global crystal graph",
"nilpotent representations",
"Arrow graph representation",
"quantum",
"Ringel-Hall algebra",
"finite type",
"PBW"
],
"name": "Arrow graph representation showing a cluster with Quantum Group",
"recipient": [
{
"id": "https://www.grid.ac/institutes/grid.20513.35",
"type": "Organization"
},
{
"affiliation": {
"id": "https://www.grid.ac/institutes/grid.20513.35",
"name": "Beijing Normal University",
"type": "Organization"
},
"familyName": "Deng",
"givenName": "Bang Ming",
"id": "sg:person.01162342205.09",
"type": "Person"
},
{
"member": "sg:person.01162342205.09",
"roleName": "PI",
"type": "Role"
}
],
"sameAs": [
"https://app.dimensions.ai/details/grant/grant.4949173"
],
"sdDataset": "grants",
"sdDatePublished": "2019-03-07T12:39",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com.uberresearch.data.processor/core_data/20181219_192338/projects/base/nsfc_projects.xml.gz",
"startDate": "2007-01-01T00:00:00Z",
"type": "MonetaryGrant",
"url": "http://npd.nsfc.gov.cn/projectDetail.action?pid=10671016"
}
]
```

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

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/grant.4949173'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/grant.4949173'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/grant.4949173'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/grant.4949173'

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

90 TRIPLES
19 PREDICATES
68 URIs
60 LITERALS
5 BLANK NODES

Subject | Predicate | Object | |
---|---|---|---|

1 | sg:grant.4949173 | schema:about | anzsrc-for:2201 |

2 | ″ | schema:amount | N50fcf1e1dd26491782a225a7f2a3b72d |

3 | ″ | schema:description | We study a relation between the generic extension graph of representations of a Dynkin quiver and the global crystal graph of its corresponding quantum enveloping algebra. We determine the generators and relations of the generic extension monoid of nilpotent representations of a cyclic quiver. We prove that Ringel-Hall algebras satisfy the fundamental relations in a more general setting and relate the Ringel-Hall algebra of an algebra with those of its quotient algebras. We present applications of Frobenius morphsim theory in the derived categories and stable module categories of repetitive categories of algebras, as well as to study the relationship among monomial, PBW and canonical bases for a non-simply laced quantum enveloping algebra of finite type. We give a criterion for a monomial in an arbitrary quantum enveloping algebra to be tight. We use the Hall algebras of cyclic quivers to study affine quantum Schur-Weyl theory. Using the deformed preprojective algebras, we study irreducible representations of a restricted quantum group. We describe the crystal graphs of representations of a class of quantum superalgebras in terms of Young tableaux. We also study the entwining structure of monods and comonods, and classify infinite dimensional pointed Hopf algebras of GK-dimnesion two and three. Write jointly a b |

4 | ″ | schema:endDate | 2009-12-31T00:00:00Z |

5 | ″ | schema:funder | https://www.grid.ac/institutes/grid.419696.5 |

6 | ″ | schema:identifier | Ndec58811b30d4b2894f78cb6ebd7259c |

7 | ″ | ″ | Nea4c36f9e99b4b04b1415a2edfbd2db8 |

8 | ″ | schema:inLanguage | zh |

9 | ″ | schema:keywords | Arrow graph representation |

10 | ″ | ″ | Dynkin quivers |

11 | ″ | ″ | Frobenius morphsim theory |

12 | ″ | ″ | GK-dimnesion two |

13 | ″ | ″ | Hall Algebras |

14 | ″ | ″ | Hopf algebras |

15 | ″ | ″ | Monod |

16 | ″ | ″ | PBW |

17 | ″ | ″ | Ringel-Hall algebra |

18 | ″ | ″ | Young tableaux |

19 | ″ | ″ | affine |

20 | ″ | ″ | algebra |

21 | ″ | ″ | arbitrary quantum |

22 | ″ | ″ | canonical bases |

23 | ″ | ″ | class |

24 | ″ | ″ | clusters |

25 | ″ | ″ | comonods |

26 | ″ | ″ | criteria |

27 | ″ | ″ | crystal graphs |

28 | ″ | ″ | cyclic quiver |

29 | ″ | ″ | deformed preprojective algebras |

30 | ″ | ″ | derived category |

31 | ″ | ″ | entwining structure |

32 | ″ | ″ | finite type |

33 | ″ | ″ | fundamental relations |

34 | ″ | ″ | general setting |

35 | ″ | ″ | generator |

36 | ″ | ″ | generic extension graph |

37 | ″ | ″ | generic extension monoid |

38 | ″ | ″ | global crystal graph |

39 | ″ | ″ | irreducible representations |

40 | ″ | ″ | monomials |

41 | ″ | ″ | nilpotent representations |

42 | ″ | ″ | non |

43 | ″ | ″ | present applications |

44 | ″ | ″ | quantum |

45 | ″ | ″ | quantum Schur-Weyl theory |

46 | ″ | ″ | quantum groups |

47 | ″ | ″ | quantum superalgebras |

48 | ″ | ″ | quotient algebra |

49 | ″ | ″ | relation |

50 | ″ | ″ | relationship |

51 | ″ | ″ | repetitive categories |

52 | ″ | ″ | representation |

53 | ″ | ″ | stable module category |

54 | ″ | ″ | terms |

55 | ″ | schema:name | Arrow graph representation showing a cluster with Quantum Group |

56 | ″ | schema:recipient | N3b3c0df2440340cbbfaa5f1ec98a8bf4 |

57 | ″ | ″ | sg:person.01162342205.09 |

58 | ″ | ″ | https://www.grid.ac/institutes/grid.20513.35 |

59 | ″ | schema:sameAs | https://app.dimensions.ai/details/grant/grant.4949173 |

60 | ″ | schema:sdDatePublished | 2019-03-07T12:39 |

61 | ″ | schema:sdLicense | https://scigraph.springernature.com/explorer/license/ |

62 | ″ | schema:sdPublisher | Ne2e51523b05b48c69b40f92f05a4f80c |

63 | ″ | schema:startDate | 2007-01-01T00:00:00Z |

64 | ″ | schema:url | http://npd.nsfc.gov.cn/projectDetail.action?pid=10671016 |

65 | ″ | sgo:license | sg:explorer/license/ |

66 | ″ | sgo:sdDataset | grants |

67 | ″ | rdf:type | schema:MonetaryGrant |

68 | N3b3c0df2440340cbbfaa5f1ec98a8bf4 | schema:member | sg:person.01162342205.09 |

69 | ″ | schema:roleName | PI |

70 | ″ | rdf:type | schema:Role |

71 | N50fcf1e1dd26491782a225a7f2a3b72d | schema:currency | CNY |

72 | ″ | schema:value | 250000 |

73 | ″ | rdf:type | schema:MonetaryAmount |

74 | Ndec58811b30d4b2894f78cb6ebd7259c | schema:name | dimensions_id |

75 | ″ | schema:value | 4949173 |

76 | ″ | rdf:type | schema:PropertyValue |

77 | Ne2e51523b05b48c69b40f92f05a4f80c | schema:name | Springer Nature - SN SciGraph project |

78 | ″ | rdf:type | schema:Organization |

79 | Nea4c36f9e99b4b04b1415a2edfbd2db8 | schema:name | nsfc_id |

80 | ″ | schema:value | 10671016 |

81 | ″ | rdf:type | schema:PropertyValue |

82 | anzsrc-for:2201 | schema:inDefinedTermSet | anzsrc-for: |

83 | ″ | rdf:type | schema:DefinedTerm |

84 | sg:person.01162342205.09 | schema:affiliation | https://www.grid.ac/institutes/grid.20513.35 |

85 | ″ | schema:familyName | Deng |

86 | ″ | schema:givenName | Bang Ming |

87 | ″ | rdf:type | schema:Person |

88 | https://www.grid.ac/institutes/grid.20513.35 | schema:name | Beijing Normal University |

89 | ″ | rdf:type | schema:Organization |

90 | https://www.grid.ac/institutes/grid.419696.5 | ″ | schema:Organization |