RT Journal Article
T1 Generalized Nijenhuis torsions and block-diagonalization of operator fields
A1 Reyes Nozaleda, Daniel
A1 Tempesta, Piergiulio
A1 Tondo, Giorgio
AB The theory of generalized Nijenhuis torsions, which extends the classical notions due to Nijenhuis and Haantjes, offers new tools for the study of normal forms of operator fields. We prove a general result ensuring that, given a family of commuting operator fields whose generalized Nijenhuis torsion of level m vanishes, there exists a local chart where all operators can be simultaneously block-diagonalized. We also introduce the notion of generalized Haantjes algebra, consisting of operators with a vanishing higher-level torsion, as a new algebraic structure naturally generalizing standard Haantjes algebras.
PB Springer
SN 0938-8974
YR 2023
FD 2023-04
LK https://hdl.handle.net/20.500.14352/73182
UL https://hdl.handle.net/20.500.14352/73182
LA eng
NO © The Author(s) 2023We wish to thank the anonymous referees for many useful observations. This work has been partly supported by the research project PGC2018-094898-B-I00, MICINN, Spain, and by the Severo Ochoa Programme for Centres of Excellence in R & D (CEX2019-000904-S), Ministerio de Ciencia, Innovacion y Universidades y Agencia Estatal de Investigacion, Spain. D. R. N. acknowledges the financial support of EXINA S.L.P. T. and G. T. are members of the Gruppo Nazionale di Fisica Matematica (GNFM).
NO Ministerio de Ciencia e Innovación (MICINN)
NO Centros de Excelencia Severo Ochoa (MICINN)
NO EXINA S.L.P. T.
DS Docta Complutense
RD 30 jun 2024