Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras
Grant number: | 18/25269-6 |
Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
Start date: | February 24, 2019 |
End date: | April 21, 2019 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
Principal Investigator: | Francisco Cesar Polcino Milies |
Grantee: | Francisco Cesar Polcino Milies |
Visiting researcher: | Antonino Giambruno |
Visiting researcher institution: | Università degli Studi di Palermo (UNIPA), Italy |
Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
Associated research grant: | 15/09162-9 - Non commutative algebra and applications, AP.TEM |
Abstract
Fundamental Algebras are algebras defined in terms of polynimial identities which are multialternating polynomials colled Kemer polynimials. Every finite dimensional algebra is PI-equivalent to a fundamental algebra. We intend to study finite dimensional algebras which are PI-equivalent to algebras whose central codiimensions are of polynimial growth. (AU)
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