Identities for subspaces of the Weyl algebra
Artem Lopatin, Carlos Arturo Rodriguez Palma
TL;DR
This paper investigates polynomial identities of degree 4 within a specific subspace of the Weyl algebra A_1 over an infinite field, providing insights into its algebraic structure.
Contribution
It characterizes polynomial identities of degree 4 for a particular subspace of the Weyl algebra, advancing understanding of its algebraic properties.
Findings
Identifies degree 4 polynomial identities for the subspace
Provides a structural description of the subspace's identities
Enhances knowledge of Weyl algebra substructures
Abstract
In this paper we describe the polynomial identities of degree 4 for a certain subspace of the Weyl algebra A_1 over an infinite field of arbitrary characteristic.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Advanced Differential Equations and Dynamical Systems