Publicación
Number of homogeneous components of counterexamples to the Dixmier conjecture
Resumen
Assume that P and Q are elements of A1 satisfying [𝑃,𝑄]=1. The Dixmier Conjecture for A1 says that they always generate A1. We show that if P is a sum of not more than 4 homogeneous elements of A1 then P and Q generate A1, which generalizes the main result in [Citation10].
Assume that P and Q are elements of A1 satisfying (Formula presented.). The Dixmier Conjecture for A1 says that they always generate A1. We show that if P is a sum of not more than 4 homogeneous elements of A1 then P and Q generate A1, which generalizes the main result in [10].
Autores y colaboradores
Authors
Palabras clave
Mathematics Counterexample Conjecture Homogeneous Pure mathematics Discrete mathematics Combinatorics Dixmier conjecture Newton polygon Weyl algebra