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Statements

Subject Item

dbr:Dixmier_conjecture

rdf:type

owl:Thing

rdfs:label

Dixmier conjecture

rdfs:comment

In algebra the Dixmier conjecture, asked by Jacques Dixmier in 1968, is the conjecture that any endomorphism of a Weyl algebra is an automorphism. in 2005, and independently and Kontsevich in 2007, showed that the Dixmier conjecture is stably equivalent to the Jacobian conjecture.

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dbc:Abstract_algebra dbc:Unsolved_problems_in_mathematics dbc:Conjectures

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dbr:Conjecture

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n11:Dixmier_conjecture?oldid=997252966&ns=0

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dbr:Endomorphism dbr:Automorphism dbr:Jacobian_conjecture dbr:Algebra dbr:Jacques_Dixmier dbc:Conjectures dbc:Abstract_algebra dbr:Yoshifumi_Tsuchimoto dbr:Maxim_Kontsevich dbr:Uniformly_bounded_representation dbr:Weyl_algebra dbc:Unsolved_problems_in_mathematics dbr:Belov-Kanel

dbo:abstract

In algebra the Dixmier conjecture, asked by Jacques Dixmier in 1968, is the conjecture that any endomorphism of a Weyl algebra is an automorphism. in 2005, and independently and Kontsevich in 2007, showed that the Dixmier conjecture is stably equivalent to the Jacobian conjecture.

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n11:Dixmier_conjecture