CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
master's at Matemática from Novosibirsk State University (1970) and ph.d. at Matemática from Sobolev Institute Of Mathematics (1973). Has experience in Mathematics, acting on the following subjects: superálgebra de jordan, superálgebra alternativa, álgebra de jordan, sabinin algebra and deformação quântica. (Source: Lattes Curriculum)
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The research project "Radicals of Axial Algebras of Jordan Type" focuses on the study of radicals of algebras of Jordan type, a class introduced in the framework of axial algebras. These algebras include the classical finite-dimensional Jordan algebras and the Matsuo algebras constructed from 3-transposition groups. Algebras of Jordan type are generated by idempotents of a special type a…
The main part of the project will be devoted to associative, Lie and Jordan algebras and superalgebras and their representations. In addition, alternative and Malcev algebras and superalgebras, Moufang loops and several generalizations will be considered. The main topics are: 1) Representations of Kac-Moody algebras; 2) Homological and homotopic properties and discrete group theory, pro-p…
The primary objective of the project is to study the non-matrix varieties of Lie and left symmetric algebras and contribute to the (positive or negative) resolution of the problem of their solvability (Lie-solvability). (AU)
We plan to work on the questions related to the rationality of the plane curve given by P(x,y) = 0where P is a polynomial in two variables over a field of characteristic zero. (AU)
The bimodules over semisimple algebras in some classes of right alternative algebras will be considered, with possible applications to classification problem of right alternative superalgebras. (AU)
(Only some records are available in English at this moment)
This project is insert on the field of Algebras with Polynomial Identities and aims primarily to investigate the asymptotic behavior of polynomial identities in G-graded algebras with homogeneous involution, a structure that has been little explored in the literature but is of great relevance. The research focuses particularly on analyzing the growth of these identities, addressing three …
This project has the following goals: describe the graded polynomial identities of some non-associative algebras and study the Specht property of the varieties genarated by these graded algebras.Consider $G$ a finite group and $F$ infinite field. The project can be divided in three problemsa) Describe the $G$-graded identities of the Lie algebra of $3\times 3$ upper triangular matrizes…
The main object of study of this research project is the theory of polynomial identities for some important algebras (not necessarily associative). We are interested in algebras endowed with a particular linear map called trace. In the first section we shall give a background concerning the theory of the polynomial identities for algebras. In the second one, which contains the project it…
The aim of this project is to do research on Hecke-Grothendieck polynomials, metabelian Novikov algebras, Generic Poisson algebras and Novikov-Poisson algebras. More precisely, we shall show that the Hecke-Grothendieck polynomials have nonnegative coefficients under certain assumptions; every finitely generated metabelian Novikov algebra has solvable word problem; we shall establish Compo…
The reserach project is concentrated in studing commutator algebras of Zinbiel Algebras (Lie-Zinbiel Algebras) and anti-commutator algebras of Novikov Algebras (Jordan-Novikov Algebras). We are interested in investigating identities for these Algebras and in studing of their homomorphic images. In case of Jordan-Novikov Algebras we want to determine whether this class forms a variety. Mor…
(Only some records are available in English at this moment)
This project has the following goal: study the finite basis problem for finite graded algebras. Consider G a finite abelian group and let F be a finite field.The project can be divided in two problems:* Investigate if any G-graded finite associative algebra over F admits afinite basis of graded polynomial identities.* Study if any G-graded finite Lie algebra over F admits a finite basis o…
| 2 / 2 | Ongoing grants |
| 62 / 49 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 21 / 12 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 1 / 0 | Completed scholarships abroad |
| 89 / 66 | All research grants and scholarships |
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