On the Linearization of Certain Singularities of Nijenhuis Operators

We consider a linearization problem for Nijenhuis operators in dimension two around a point of scalar type in analytic category. The problem was almost completely solved in [ 8 ]. One case, however, namely the case of left-symmetric algebra , proved to be difficult. Here we solve it and, thus, compl...

Full description

Saved in:
Bibliographic Details
Published in:Russian journal of mathematical physics 2024-03, Vol.31 (1), p.106-111
Main Author: Konyaev, A.Yu
Format: Article
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Fields (mathematics)
Linearization
Mathematical and Computational Physics
Operators (mathematics)
Physics
Physics and Astronomy
Theoretical
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider a linearization problem for Nijenhuis operators in dimension two around a point of scalar type in analytic category. The problem was almost completely solved in [ 8 ]. One case, however, namely the case of left-symmetric algebra , proved to be difficult. Here we solve it and, thus, complete the solution of the linearization problem for Nijenhuis operators in dimension two. The problem turns out to be related to classical results on the linearization of vector fields and their monodromy mappings. DOI 10.1134/S106192084010084
ISSN:1061-9208
1555-6638
DOI:10.1134/S106192084010084