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The Lie algebra of derivations on a polynomial ring and certain maximal subalgebras

Grant number: 20/08422-5
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): August 01, 2020
Effective date (End): July 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Angelo Calil Bianchi
Grantee:Pedro Dragone Latini
Home Institution: Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil

Abstract

This project is aimed at studying the Lie algebra of derivations of a polynomial ring over the field of complex numbers, with an emphasis on locally nilpotent derivations and questions about Lie subalgebras formed by these derivations.