Commutative Rings of Differential Operators Corresponding to Multidimensional Algebraic Varieties
A.E. Mironov
TL;DR
This paper introduces new multidimensional commuting matrix differential operators and extends the Kadomtsev--Petviashvili hierarchy to higher dimensions, advancing the understanding of algebraic structures in differential operator theory.
Contribution
It constructs novel examples of multidimensional commuting matrix differential operators and develops a multidimensional analog of the KP hierarchy, expanding the theoretical framework.
Findings
New multidimensional commuting matrix differential operators
A multidimensional generalization of the KP hierarchy
Enhanced algebraic understanding of differential operators
Abstract
We construct new examples of multidimensional commuting matrix differential operators and a multidimensional analog of the Kadomtsev--Petviashvili hierarchy.
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Taxonomy
TopicsAdvanced Topics in Algebra · advanced mathematical theories · Advanced Algebra and Geometry