| Grant number: | 16/24778-9 |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| Start date: | September 01, 2017 |
| End date: | August 31, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Dessislava Hristova Kochloukova |
| Grantee: | Luis Augusto de Mendonça |
| Supervisor: | Conchita Martinez Perez |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Institution abroad: | Universidad de Zaragoza, Spain |
| Associated to the scholarship: | 15/22064-6 - Homological finiteness properties, BP.DR |
Abstract We will study a Lie algebra version of the group X(G) defined by Prof. Sidki (UnB). For a Lie algebra L (over a field) we will study the existance of an abelian ideal W of X(L) such that the quotient X(L)/ W is a subdirect Lie sum of 3 copies of L. Our goal is to find Lie algebra version of the group theoretic properties of X(G), adapting group theoretic results to the theory of Lie algebras and study when X(L) is of type FPm or finitely presented. | |
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