The Dixmier Conjecture and the shape of possible counterexamples

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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. © 2013 Elsevier Inc.

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Autores principales: Guccione, J.A., Guccione, J.J., Valqui, C.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2014
Materias:
Dixmier Conjecture
Weyl algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v399_n_p581_Guccione
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_00218693_v399_n_p581_Guccione
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spelling paperaa:paper_00218693_v399_n_p581_Guccione2023-06-12T16:42:30Z The Dixmier Conjecture and the shape of possible counterexamples J. Algebra 2014;399:581-633 Guccione, J.A. Guccione, J.J. Valqui, C. Dixmier Conjecture Weyl algebra 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. © 2013 Elsevier Inc. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v399_n_p581_Guccione
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Dixmier Conjecture
Weyl algebra
spellingShingle Dixmier Conjecture
Weyl algebra
Guccione, J.A.
Guccione, J.J.
Valqui, C.
The Dixmier Conjecture and the shape of possible counterexamples
topic_facet Dixmier Conjecture
Weyl algebra
description 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. © 2013 Elsevier Inc.
format Artículo
Artículo
publishedVersion
author Guccione, J.A.
Guccione, J.J.
Valqui, C.
author_facet Guccione, J.A.
Guccione, J.J.
Valqui, C.
author_sort Guccione, J.A.
title The Dixmier Conjecture and the shape of possible counterexamples
title_short The Dixmier Conjecture and the shape of possible counterexamples
title_full The Dixmier Conjecture and the shape of possible counterexamples
title_fullStr The Dixmier Conjecture and the shape of possible counterexamples
title_full_unstemmed The Dixmier Conjecture and the shape of possible counterexamples
title_sort dixmier conjecture and the shape of possible counterexamples
publishDate 2014
url http://hdl.handle.net/20.500.12110/paper_00218693_v399_n_p581_Guccione
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