Number of homogeneous components of counterexamples to the Dixmier conjecture
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Taylor and Francis Ltd.
Acceso al texto completo solo para la Comunidad PUCP
Abstract
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].
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Mathematics, Counterexample, Conjecture, Homogeneous, Pure mathematics, Discrete mathematics, Combinatorics