Matches in SemOpenAlex for { <https://semopenalex.org/work/W3045549649> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W3045549649 endingPage "84" @default.
- W3045549649 startingPage "59" @default.
- W3045549649 abstract "Abstract. A cohomology theory of root systems emerges naturally in the context of Automorphic Lie Algebras, where it helps formulating some structure theory questions. In particular, one can find concrete models for an Automorphic Lie Algebra by integrating cocycles. In this paper we define this cohomology and show its connection with the theory of Automorphic Lie Algebras. Furthermore, we discuss its properties: we define the cup product, we show that it can be restricted to symmetric forms, that it is equivariant with respect to the automorphism group of the root system, and finally we show acyclicity at dimension two of the symmetric part, which is exactly what is needed to find concrete models for Automorphic Lie Algebras. Furthermore, we show how the cohomology of root systems finds application beyond the theory of Automorphic Lie Algebras by applying it to the theory of contractions and filtrations of Lie algebras. In particular, we show that contractions associated to Cartan Z-filtrations of simple Lie algebras are classified by 2-cocycles, due again to the vanishing of the symmetric part of the second cohomology group." @default.
- W3045549649 created "2020-08-03" @default.
- W3045549649 creator A5007180904 @default.
- W3045549649 creator A5059159255 @default.
- W3045549649 creator A5069400670 @default.
- W3045549649 date "2020-03-01" @default.
- W3045549649 modified "2023-10-16" @default.
- W3045549649 title "Automorphic lie algebras and cohomology of root systems" @default.
- W3045549649 hasPublicationYear "2020" @default.
- W3045549649 type Work @default.
- W3045549649 sameAs 3045549649 @default.
- W3045549649 citedByCount "2" @default.
- W3045549649 countsByYear W30455496492020 @default.
- W3045549649 crossrefType "journal-article" @default.
- W3045549649 hasAuthorship W3045549649A5007180904 @default.
- W3045549649 hasAuthorship W3045549649A5059159255 @default.
- W3045549649 hasAuthorship W3045549649A5069400670 @default.
- W3045549649 hasConcept C104559423 @default.
- W3045549649 hasConcept C132817261 @default.
- W3045549649 hasConcept C136119220 @default.
- W3045549649 hasConcept C186489112 @default.
- W3045549649 hasConcept C202444582 @default.
- W3045549649 hasConcept C203946495 @default.
- W3045549649 hasConcept C33923547 @default.
- W3045549649 hasConcept C51568863 @default.
- W3045549649 hasConcept C5475112 @default.
- W3045549649 hasConcept C72738302 @default.
- W3045549649 hasConcept C73648015 @default.
- W3045549649 hasConcept C78606066 @default.
- W3045549649 hasConcept C81999800 @default.
- W3045549649 hasConceptScore W3045549649C104559423 @default.
- W3045549649 hasConceptScore W3045549649C132817261 @default.
- W3045549649 hasConceptScore W3045549649C136119220 @default.
- W3045549649 hasConceptScore W3045549649C186489112 @default.
- W3045549649 hasConceptScore W3045549649C202444582 @default.
- W3045549649 hasConceptScore W3045549649C203946495 @default.
- W3045549649 hasConceptScore W3045549649C33923547 @default.
- W3045549649 hasConceptScore W3045549649C51568863 @default.
- W3045549649 hasConceptScore W3045549649C5475112 @default.
- W3045549649 hasConceptScore W3045549649C72738302 @default.
- W3045549649 hasConceptScore W3045549649C73648015 @default.
- W3045549649 hasConceptScore W3045549649C78606066 @default.
- W3045549649 hasConceptScore W3045549649C81999800 @default.
- W3045549649 hasIssue "1" @default.
- W3045549649 hasLocation W30455496491 @default.
- W3045549649 hasOpenAccess W3045549649 @default.
- W3045549649 hasPrimaryLocation W30455496491 @default.
- W3045549649 hasRelatedWork W197745163 @default.
- W3045549649 hasRelatedWork W1990923513 @default.
- W3045549649 hasRelatedWork W2004065777 @default.
- W3045549649 hasRelatedWork W2012950353 @default.
- W3045549649 hasRelatedWork W2023360042 @default.
- W3045549649 hasRelatedWork W2030781127 @default.
- W3045549649 hasRelatedWork W2099674474 @default.
- W3045549649 hasRelatedWork W2156004514 @default.
- W3045549649 hasRelatedWork W2169546768 @default.
- W3045549649 hasRelatedWork W2189560065 @default.
- W3045549649 hasRelatedWork W2538590224 @default.
- W3045549649 hasRelatedWork W2861035881 @default.
- W3045549649 hasRelatedWork W2905517424 @default.
- W3045549649 hasRelatedWork W2949680988 @default.
- W3045549649 hasRelatedWork W2950224930 @default.
- W3045549649 hasRelatedWork W2953055724 @default.
- W3045549649 hasRelatedWork W3000733442 @default.
- W3045549649 hasRelatedWork W3010346780 @default.
- W3045549649 hasRelatedWork W3037336046 @default.
- W3045549649 hasRelatedWork W1663455457 @default.
- W3045549649 hasVolume "30" @default.
- W3045549649 isParatext "false" @default.
- W3045549649 isRetracted "false" @default.
- W3045549649 magId "3045549649" @default.
- W3045549649 workType "article" @default.