The Dixmier Conjecture and the shape of possible counterexamples

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture.

Original languageEnglish
Pages (from-to)581-633
Number of pages53
JournalJournal of Algebra
Volume399
DOIs
StatePublished - 1 Feb 2014

Keywords

  • Dixmier Conjecture
  • Weyl algebra

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