This HTML5 document contains 72 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
n14http://projecteuclid.org/getRecord%3Fid=euclid.cmp/
dcthttp://purl.org/dc/terms/
yago-reshttp://yago-knowledge.org/resource/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
dbpedia-eshttp://es.dbpedia.org/resource/
n16https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbchttp://dbpedia.org/resource/Category:
dbphttp://dbpedia.org/property/
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
goldhttp://purl.org/linguistics/gold/
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:List_of_q-analogs
dbo:wikiPageWikiLink
dbr:Quantum_affine_algebra
Subject Item
dbr:Quantum_KZ_equations
dbo:wikiPageWikiLink
dbr:Quantum_affine_algebra
Subject Item
dbr:Edward_Frenkel
dbo:wikiPageWikiLink
dbr:Quantum_affine_algebra
Subject Item
dbr:Michela_Varagnolo
dbo:wikiPageWikiLink
dbr:Quantum_affine_algebra
Subject Item
dbr:Quantum_affine_algebra
rdf:type
yago:CausalAgent100007347 yago:Assistant109815790 yago:Person100007846 yago:YagoLegalActor yago:YagoLegalActorGeo yago:Model110324560 yago:Organism100004475 yago:LivingThing100004258 yago:PhysicalEntity100001930 yago:Whole100003553 yago:WikicatExactlySolvableModels yago:Object100002684 yago:Worker109632518
rdfs:label
Quantum affine algebra Álgebra cuántica afín
rdfs:comment
In mathematics, a quantum affine algebra (or affine quantum group) is a Hopf algebra that is a q-deformation of the universal enveloping algebra of an affine Lie algebra. They were introduced independently by and as a special case of their general construction of a quantum group from a Cartan matrix. One of their principal applications has been to the theory of solvable lattice models in quantum statistical mechanics, where the Yang–Baxter equation occurs with a spectral parameter. Combinatorial aspects of the representation theory of quantum affine algebras can be described simply using crystal bases, which correspond to the degenerate case when the deformation parameter q vanishes and the Hamiltonian of the associated lattice model can be explicitly diagonalized. En matemáticas, un álgebra cuántica afín (o grupo afín cuántico) es un que cumple ser una q-deformación del universal de un . Fueron introducidas de forma independiente por y como un caso particular de su construcción general de un de una . Una de sus principales aplicaciones ha sido a la teoría de modelos de red resolubles en , donde la ocurre con un parámetro espectral. Los aspectos combinatorios de la teoría de representación de álgebras cuánticas afines se puede describir simplemente utilizando , lo que se corresponde con el caso degenerado en el que el parámetro de deformación q se cancela y el hamiltoniano del modelo de red asociado no se puede diagonalizar explícitamente.
dct:subject
dbc:Exactly_solvable_models dbc:Mathematical_quantization dbc:Representation_theory dbc:Quantum_groups
dbo:wikiPageID
25666636
dbo:wikiPageRevisionID
1004422902
dbo:wikiPageWikiLink
dbr:Littelmann_path_model dbr:Quantum_group dbr:Letters_in_Mathematical_Physics dbr:Exactly_solvable_model dbr:Spectral_theory dbr:Mathematics dbr:Hopf_algebra dbr:Universal_enveloping_algebra dbr:Communications_in_Mathematical_Physics dbc:Representation_theory dbr:Quantum_KZ_equations dbr:Affine_Lie_algebra dbr:Cartan_matrix dbc:Quantum_groups dbr:Crystal_basis dbr:Yangian dbr:Quantum_statistical_mechanics dbc:Exactly_solvable_models dbr:Quantum_enveloping_algebra dbr:Yang–Baxter_equation dbc:Mathematical_quantization dbr:Hamiltonian_(quantum_mechanics)
dbo:wikiPageExternalLink
n14:1104249974
owl:sameAs
freebase:m.05zjzr5 yago-res:Quantum_affine_algebra n16:4tyLs dbpedia-es:Álgebra_cuántica_afín wikidata:Q7269007
dbp:wikiPageUsesTemplate
dbt:Citation dbt:Abstract-algebra-stub dbt:Harvtxt dbt:Quantum-stub
dbo:abstract
En matemáticas, un álgebra cuántica afín (o grupo afín cuántico) es un que cumple ser una q-deformación del universal de un . Fueron introducidas de forma independiente por y como un caso particular de su construcción general de un de una . Una de sus principales aplicaciones ha sido a la teoría de modelos de red resolubles en , donde la ocurre con un parámetro espectral. Los aspectos combinatorios de la teoría de representación de álgebras cuánticas afines se puede describir simplemente utilizando , lo que se corresponde con el caso degenerado en el que el parámetro de deformación q se cancela y el hamiltoniano del modelo de red asociado no se puede diagonalizar explícitamente. In mathematics, a quantum affine algebra (or affine quantum group) is a Hopf algebra that is a q-deformation of the universal enveloping algebra of an affine Lie algebra. They were introduced independently by and as a special case of their general construction of a quantum group from a Cartan matrix. One of their principal applications has been to the theory of solvable lattice models in quantum statistical mechanics, where the Yang–Baxter equation occurs with a spectral parameter. Combinatorial aspects of the representation theory of quantum affine algebras can be described simply using crystal bases, which correspond to the degenerate case when the deformation parameter q vanishes and the Hamiltonian of the associated lattice model can be explicitly diagonalized.
gold:hypernym
dbr:Algebra
prov:wasDerivedFrom
wikipedia-en:Quantum_affine_algebra?oldid=1004422902&ns=0
dbo:wikiPageLength
2957
foaf:isPrimaryTopicOf
wikipedia-en:Quantum_affine_algebra
Subject Item
dbr:Quantum_group
dbo:wikiPageWikiLink
dbr:Quantum_affine_algebra
Subject Item
dbr:Yangian
dbo:wikiPageWikiLink
dbr:Quantum_affine_algebra
Subject Item
dbr:Affine_quantum_group
dbo:wikiPageWikiLink
dbr:Quantum_affine_algebra
dbo:wikiPageRedirects
dbr:Quantum_affine_algebra
Subject Item
dbr:Quantum_affine_algebras
dbo:wikiPageWikiLink
dbr:Quantum_affine_algebra
dbo:wikiPageRedirects
dbr:Quantum_affine_algebra
Subject Item
wikipedia-en:Quantum_affine_algebra
foaf:primaryTopic
dbr:Quantum_affine_algebra