CV Lattes
ORCID
Google Scholar Citations
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
bachelor's at Mathematics from Sofia University "St. Kliment Okhridski" (1981), master's at algebra from Sofia University "St. Kliment Okhridski" (1983) and doctorate at algebra from Sofia University "St. Kliment Okhridski" (1987). Has experience in Mathematics, acting on the following subjects: graded identities, t-ideal, identidades polinomiais, propriedade de specht and bases of identities. (Source: Lattes Curriculum)
| News published in Agência FAPESP Newsletter about the researcher |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |
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…
(Only some records are available in English at this moment)
In this project we intend to study the basics of the theory of com-mutative rings and fields, aiming at Galois theory. We start with the basic properties of commutative rings, such as Euclidean, principal,and factorial rings. We shall study the structure of polynomial ringsin one and several variables over a field (and over a domain). We shallreview the notion of symmetric polynomials, an…
In this doctoral research project we focus on problems in the area of Algebra: the theory of algebras with polynomial identities. More precisely, we intend to study the so-called tensor polynomial identities. They were introduced and studied by Huber and Procesi in 2021, 2022. In 2021, Huber found a tensor identity of degree 4 for the algebra of matrices of order 2; it resembles the stand…
In this master's project we shall study classical topics in the theory of algebras with polynomial identities, namely the identities satisfied by matrix algebras. We shall begin with a brief introduction to the area: polynomial identities, PI algebras, varieties of algebras, T-ideals, the linearization process, homogeneous and multilinear structure of relatively free algebras, the theory …
(Only some records are available in English at this moment)
In this research project we shall study the structure of rings and algebras, towards some applications. We shall start with the basic properties of the rings such as primitiveness, semi-simplicity, the Jacobson radical, the Chain conditions, then we shall go to simple rings, and the Wedderburn--Artin theorem. We shall go into details about simple algebras and the Skolem--Noether theorem, …
In this research project towards MSc degree in Mathematics we study certain classical topics of the theory of algebras with polynomial identities. We shall start with a brief overview of polynomial identities, PI algebras, varieties of algebras, T-ideals, linearization, homogeneous and multilinear structure of relatively free algebras, representation theory of the symmetric and of the gen…
We shall study the fundaments of the theory of noncommutative rings. We shall cover division rings and the Frobenius theorem about the quaternion algebra. The Wedderburn theorem concerning the commutativity of finite division rings will be covered as well. We shall see also the notion of a central simple algebra. The Skolem-Noether theorem about the automorphisms will be a central piece i…
(Only some records are available in English at this moment)
The main goal of this project is to study the algebraic structure of regular gradings that have a minimal regular decomposition. The first part aims to provide a complete description of such gradings that are infinite-dimensional, since the structure of finite-dimensional regular gradings with minimal regular decomposition has already been obtained in recent results. The hypothesis of in…
The Lvov-Kaplansky conjecture states that the image of a multilinear polynomial on the full matrix algebra is a vector subspace. The purpose of this research project is to study a variation of the aforementioned conjecture in the context of multilinear polynomials on the involution algebras UT_2 and UT_3. (AU)
We shall study the graded identities for an elementary grading on the Lie algebra of upper triangular matrices. To this end we shall study the combinatorial properties of certain subset of the permutation group of m elements. Moreover we are planning to approach the following problem. Given two finite dimensional graded simple Lie algebras over an algebraically closed field, satisfying th…
| 1 / 1 | Ongoing grants |
| 22 / 15 | Completed research grants |
| 4 / 4 | Ongoing scholarships in Brazil |
| 17 / 13 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 2 / 2 | Completed scholarships abroad |
| 47 / 36 | All research grants and scholarships |
| Associated processes | |