The Dixmier Conjecture and the shape of possible counterexamples

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

doi:10.1016/j.jalgebra.2013.10.011

The Dixmier Conjecture and the shape of possible counterexamples

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

Sección de Matemáticas

Universidad de Buenos Aires
Pabellón 1-Ciudad Universitaria
Consejo Nacional de Investigaciones Científicas y Técnicas
Instituto de Matemática y Ciencias Afines

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	581-633
Número de páginas	53
Publicación	Journal of Algebra
Volumen	399
DOI	https://doi.org/10.1016/j.jalgebra.2013.10.011
Estado	Publicada - 1 feb. 2014

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title = "The Dixmier Conjecture and the shape of possible counterexamples",

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.",

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author = "Guccione, \{Jorge A.\} and Guccione, \{Juan J.\} and Christian Valqui",

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AU - Guccione, Jorge A.

AU - Guccione, Juan J.

AU - Valqui, Christian

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Y1 - 2014/2/1

N2 - 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.

AB - 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.

KW - Dixmier Conjecture

KW - Weyl algebra

UR - https://www.scopus.com/pages/publications/84887230402

U2 - 10.1016/j.jalgebra.2013.10.011

DO - 10.1016/j.jalgebra.2013.10.011

M3 - Article

AN - SCOPUS:84887230402

SN - 0021-8693

VL - 399

SP - 581

EP - 633

JO - Journal of Algebra

JF - Journal of Algebra

ER -

The Dixmier Conjecture and the shape of possible counterexamples

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