Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308944768> ?p ?o ?g. }
Showing items 1 to 52 of
52
with 100 items per page.
- W4308944768 abstract "We categorify various Fock space representations on the algebra of symmetric functions via the category of polynomial functors. In a prequel, we used polynomial functors to categorify the Fock space representations of type A affine Lie algebras. In the current work we continue the study of polynomial functors from the point of view of higher representation theory. Firstly, we categorify the Fock space representation of the Heisenberg algebra on the category of polynomial functors. Secondly, we construct commuting actions of the affine Lie algebra and the level p action of the Heisenberg algebra on the derived category of polynomial functors over a field of characteristic p > 0, thus weakly categorifying the Fock space representation of $hat{gl}_p$. Moreover, we study the relationship between these categorifications and Schur-Weyl duality. The duality is formulated as a functor from the category of polynomial functors to the category of linear species. The category of linear species is known to carry actions of the Kac-Moody algebra and the Heisenberg algebra. We prove that Schur-Weyl duality is a morphism of these categorification structures." @default.
- W4308944768 created "2022-11-19" @default.
- W4308944768 creator A5052026283 @default.
- W4308944768 creator A5071539098 @default.
- W4308944768 date "2011-11-22" @default.
- W4308944768 modified "2023-10-08" @default.
- W4308944768 title "Polynomial functors and categorifications of Fock space II" @default.
- W4308944768 doi "https://doi.org/10.48550/arxiv.1111.5335" @default.
- W4308944768 hasPublicationYear "2011" @default.
- W4308944768 type Work @default.
- W4308944768 citedByCount "0" @default.
- W4308944768 crossrefType "posted-content" @default.
- W4308944768 hasAuthorship W4308944768A5052026283 @default.
- W4308944768 hasAuthorship W4308944768A5071539098 @default.
- W4308944768 hasBestOaLocation W43089447681 @default.
- W4308944768 hasConcept C114852677 @default.
- W4308944768 hasConcept C118615104 @default.
- W4308944768 hasConcept C121332964 @default.
- W4308944768 hasConcept C136119220 @default.
- W4308944768 hasConcept C153778094 @default.
- W4308944768 hasConcept C156772000 @default.
- W4308944768 hasConcept C202444582 @default.
- W4308944768 hasConcept C33923547 @default.
- W4308944768 hasConcept C62520636 @default.
- W4308944768 hasConcept C99633028 @default.
- W4308944768 hasConceptScore W4308944768C114852677 @default.
- W4308944768 hasConceptScore W4308944768C118615104 @default.
- W4308944768 hasConceptScore W4308944768C121332964 @default.
- W4308944768 hasConceptScore W4308944768C136119220 @default.
- W4308944768 hasConceptScore W4308944768C153778094 @default.
- W4308944768 hasConceptScore W4308944768C156772000 @default.
- W4308944768 hasConceptScore W4308944768C202444582 @default.
- W4308944768 hasConceptScore W4308944768C33923547 @default.
- W4308944768 hasConceptScore W4308944768C62520636 @default.
- W4308944768 hasConceptScore W4308944768C99633028 @default.
- W4308944768 hasLocation W43089447681 @default.
- W4308944768 hasLocation W43089447682 @default.
- W4308944768 hasOpenAccess W4308944768 @default.
- W4308944768 hasPrimaryLocation W43089447681 @default.
- W4308944768 hasRelatedWork W1589863173 @default.
- W4308944768 hasRelatedWork W2051189936 @default.
- W4308944768 hasRelatedWork W2408525916 @default.
- W4308944768 hasRelatedWork W2478822598 @default.
- W4308944768 hasRelatedWork W2486329378 @default.
- W4308944768 hasRelatedWork W2794841725 @default.
- W4308944768 hasRelatedWork W2903354553 @default.
- W4308944768 hasRelatedWork W4298366735 @default.
- W4308944768 hasRelatedWork W4302592599 @default.
- W4308944768 hasRelatedWork W2147800711 @default.
- W4308944768 isParatext "false" @default.
- W4308944768 isRetracted "false" @default.
- W4308944768 workType "article" @default.