Combinatorial aspects of Lie Algebras and of noncomutative algebras

• Grant number: 16/18068-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: March 06, 2017
• End date: March 05, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Victor Petrogradskiy
• Visiting researcher institution: Universidade de Brasília (UnB). Instituto de Ciências Exatas, Brazil
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

The objective of the project is a construction of new examples of Lie, Poisson, and Jordan (super)algebras auto-similares. We plan to obtain examples of algebras with small growth and then to study properties of these algebras and their enveloping algebras, to calculate their numeric characteristics, and generating functions. We pretend to construct nil-algebras or nil-graded algebras. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

PETROGRADSKY, VICTOR; SHESTAKOV, I. P.. On Jordan doubles of slow growth of Lie superalgebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 13, n. 1, p. 158-176, JUN 2019. (14/09310-5, 16/18068-9)