Matches in SemOpenAlex for { <https://semopenalex.org/work/W2113000971> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2113000971 abstract "Let g be a complex, semisimple Lie algebra, and Y_h(g) and U_q(Lg) the Yangian and quantum loop algebra of g. Assuming that h is not a rational number and that q=exp(i pi h), we construct an equivalence between the finite-dimensional representations of U_q(Lg) and an explicit subcategory of those of Y_h(g) defined by choosing a branch of the logarithm. This equivalence is governed by the monodromy of the abelian additive difference equations defined by the commuting fields of Y_h(g). Our results are compatible with q-characters, and apply more generally to a symmetrisable Kac-Moody algebra g, in particular to affine Yangians and quantum toroidal algebras. In this generality, they yield an equivalence between the representations of Y_h(g) and U_q(Lg) whose restriction to g and U_q(g) respectively are integrable and in category O." @default.
- W2113000971 created "2016-06-24" @default.
- W2113000971 creator A5018425857 @default.
- W2113000971 creator A5047733294 @default.
- W2113000971 date "2013-10-28" @default.
- W2113000971 modified "2023-09-26" @default.
- W2113000971 title "Yangians, quantum loop algebras and abelian difference equations" @default.
- W2113000971 cites W1666120112 @default.
- W2113000971 cites W1987734322 @default.
- W2113000971 cites W2019813441 @default.
- W2113000971 cites W2800244612 @default.
- W2113000971 doi "https://doi.org/10.48550/arxiv.1310.7318" @default.
- W2113000971 hasPublicationYear "2013" @default.
- W2113000971 type Work @default.
- W2113000971 sameAs 2113000971 @default.
- W2113000971 citedByCount "2" @default.
- W2113000971 countsByYear W21130009712015 @default.
- W2113000971 countsByYear W21130009712017 @default.
- W2113000971 crossrefType "posted-content" @default.
- W2113000971 hasAuthorship W2113000971A5018425857 @default.
- W2113000971 hasAuthorship W2113000971A5047733294 @default.
- W2113000971 hasBestOaLocation W21130009711 @default.
- W2113000971 hasConcept C124101348 @default.
- W2113000971 hasConcept C136119220 @default.
- W2113000971 hasConcept C136170076 @default.
- W2113000971 hasConcept C139002025 @default.
- W2113000971 hasConcept C199422724 @default.
- W2113000971 hasConcept C200741047 @default.
- W2113000971 hasConcept C202444582 @default.
- W2113000971 hasConcept C2777954988 @default.
- W2113000971 hasConcept C2780617661 @default.
- W2113000971 hasConcept C2781197150 @default.
- W2113000971 hasConcept C33923547 @default.
- W2113000971 hasConcept C41008148 @default.
- W2113000971 hasConcept C81999800 @default.
- W2113000971 hasConcept C96403706 @default.
- W2113000971 hasConceptScore W2113000971C124101348 @default.
- W2113000971 hasConceptScore W2113000971C136119220 @default.
- W2113000971 hasConceptScore W2113000971C136170076 @default.
- W2113000971 hasConceptScore W2113000971C139002025 @default.
- W2113000971 hasConceptScore W2113000971C199422724 @default.
- W2113000971 hasConceptScore W2113000971C200741047 @default.
- W2113000971 hasConceptScore W2113000971C202444582 @default.
- W2113000971 hasConceptScore W2113000971C2777954988 @default.
- W2113000971 hasConceptScore W2113000971C2780617661 @default.
- W2113000971 hasConceptScore W2113000971C2781197150 @default.
- W2113000971 hasConceptScore W2113000971C33923547 @default.
- W2113000971 hasConceptScore W2113000971C41008148 @default.
- W2113000971 hasConceptScore W2113000971C81999800 @default.
- W2113000971 hasConceptScore W2113000971C96403706 @default.
- W2113000971 hasLocation W21130009711 @default.
- W2113000971 hasOpenAccess W2113000971 @default.
- W2113000971 hasPrimaryLocation W21130009711 @default.
- W2113000971 hasRelatedWork W2056663089 @default.
- W2113000971 hasRelatedWork W2057036755 @default.
- W2113000971 hasRelatedWork W2113000971 @default.
- W2113000971 hasRelatedWork W2883665282 @default.
- W2113000971 hasRelatedWork W2937884398 @default.
- W2113000971 hasRelatedWork W2963142399 @default.
- W2113000971 hasRelatedWork W2963214351 @default.
- W2113000971 hasRelatedWork W2980960092 @default.
- W2113000971 hasRelatedWork W2995801688 @default.
- W2113000971 hasRelatedWork W4301046209 @default.
- W2113000971 isParatext "false" @default.
- W2113000971 isRetracted "false" @default.
- W2113000971 magId "2113000971" @default.
- W2113000971 workType "article" @default.