Matches in SemOpenAlex for { <https://semopenalex.org/work/W1489455938> ?p ?o ?g. }
Showing items 1 to 52 of
52
with 100 items per page.
- W1489455938 endingPage "3082" @default.
- W1489455938 startingPage "3073" @default.
- W1489455938 abstract "Let A 1(K) = K ⟨ X, Y | YX − XY = 1 ⟩ be the first Weyl algebra over a characteristic zero field K, and let α be the exchange involution on A 1(K) given by α(X) = Y and α(Y) = X. The Dixmier conjecture of Dixmier (1968) asks the following question: Is every algebra endomorphism of the Weyl algebra A 1(K) an automorphism? The aim of this paper is to prove that each α-endomorphism of A 1(K) is an automorphism. Here an α-endomorphism of A 1(K) is an endomorphism which preserves the involution α. We also prove an analogue result for the Jacobian conjecture in dimension 2, called α −JC 2." @default.
- W1489455938 created "2016-06-24" @default.
- W1489455938 creator A5064387150 @default.
- W1489455938 creator A5089503291 @default.
- W1489455938 date "2015-06-04" @default.
- W1489455938 modified "2023-09-28" @default.
- W1489455938 title "The Starred Dixmier Conjecture forA1" @default.
- W1489455938 cites W1999171030 @default.
- W1489455938 cites W2081461845 @default.
- W1489455938 cites W2295682214 @default.
- W1489455938 cites W2962690600 @default.
- W1489455938 cites W2963897276 @default.
- W1489455938 cites W3037400924 @default.
- W1489455938 cites W3102850339 @default.
- W1489455938 cites W4253289064 @default.
- W1489455938 doi "https://doi.org/10.1080/00927872.2014.907418" @default.
- W1489455938 hasPublicationYear "2015" @default.
- W1489455938 type Work @default.
- W1489455938 sameAs 1489455938 @default.
- W1489455938 citedByCount "0" @default.
- W1489455938 crossrefType "journal-article" @default.
- W1489455938 hasAuthorship W1489455938A5064387150 @default.
- W1489455938 hasAuthorship W1489455938A5089503291 @default.
- W1489455938 hasConcept C136119220 @default.
- W1489455938 hasConcept C202444582 @default.
- W1489455938 hasConcept C2780990831 @default.
- W1489455938 hasConcept C33923547 @default.
- W1489455938 hasConceptScore W1489455938C136119220 @default.
- W1489455938 hasConceptScore W1489455938C202444582 @default.
- W1489455938 hasConceptScore W1489455938C2780990831 @default.
- W1489455938 hasConceptScore W1489455938C33923547 @default.
- W1489455938 hasIssue "8" @default.
- W1489455938 hasLocation W14894559381 @default.
- W1489455938 hasOpenAccess W1489455938 @default.
- W1489455938 hasPrimaryLocation W14894559381 @default.
- W1489455938 hasRelatedWork W2046365279 @default.
- W1489455938 hasRelatedWork W2060857373 @default.
- W1489455938 hasRelatedWork W2335125628 @default.
- W1489455938 hasRelatedWork W2463560742 @default.
- W1489455938 hasRelatedWork W2606009334 @default.
- W1489455938 hasRelatedWork W2962690600 @default.
- W1489455938 hasRelatedWork W2964292522 @default.
- W1489455938 hasRelatedWork W3026358768 @default.
- W1489455938 hasRelatedWork W3038654277 @default.
- W1489455938 hasRelatedWork W3106181326 @default.
- W1489455938 hasVolume "43" @default.
- W1489455938 isParatext "false" @default.
- W1489455938 isRetracted "false" @default.
- W1489455938 magId "1489455938" @default.
- W1489455938 workType "article" @default.