Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields
نویسندگان
چکیده
Abstract The theory of generalized Nijenhuis torsions, which extends the classical notions due to and Haantjes, offers new tools for study normal forms operator fields. We prove a general result ensuring that, given family commuting fields whose torsion level m vanishes, there exists local chart where all operators can be simultaneously block-diagonalized. also introduce notion Haantjes algebra, consisting with vanishing higher-level torsion, as algebraic structure naturally generalizing standard algebras.
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2023
ISSN: ['0938-8974', '1432-1467']
DOI: https://doi.org/10.1007/s00332-022-09877-8