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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC)
(Institutional affiliation for the last research proposal)

Birthplace:
Bulgária

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)

Research grants

- Structures, representations, and applications of algebraic systems, AP.TEM
### Abstract

Most of the project will be dedicated to Lie and Jordan algebras and superalgebras and their representations. In addition, Malcev and alternative algebras and superalgebras will be considered, Moufang loops and various generalizations and applications of above. Algebraic systems related to integrable systems of differential equations will be considered. Homological methods will be appli...

- XXV Brazilian algebra school, AO.R
- Lie and Jordan algebras, their representations and applications VII, AO.R
- Lie and Jordan algebras, their representations and applications VI, AO.R

(Only some records are available in English at this moment)

Scholarships in Brazil

- Algebras that are sums of two PI subalgebras, BP.DR
### Abstract

In this research proposal we plan to study the following problem. Let R be an associative ring suc that RR_1R_2 where R_1 and R_2 are subrings of R. The sum need not be direct nor R_1 and/or R_2 need be ideals in R. Suppose tat R_1 and R_2 both satisfy polynomial identities (PI), can one conclude R is a PI ring or not. This problem is quite old, there is an extensive list of papers deal...

- Groups, fields, Galois theory, and applications, BP.IC
### Abstract

In tis project we shall study some topics of significant relevance for Contemporary Algebra. First we shall study some basic notions of Group Theory, mainly finite groups. Afterwards we approach elements of Field Theory and extensions, using the language of polynomials and roots. We shall cover finite, algebraic, f.g. extensions. Then we pass to symmetric polynomials and roots, and thei...

- Groups, representations, and applications, BP.IC
### Abstract

In this research project, we aim at studying some of the basic notions of Contemporary Algebra. We are commencing with a brief revision of Group Theory (the student has already studied the basics of the area, and he did a formal study as a Introduction to Science, and moreover, now he is studying topics of Group Theory). Afterwards we will continue with the Representation Theory of fini...

(Only some records are available in English at this moment)

- Graded identities in Lie and Jordan algebras, BP.DR
### Abstract

We shall study graded identities in Lie and Jordan algebras. We shall work with the gradings and the graded identities for the Lie algebra of the upper triangular matrices of size nxn over a field K. We shall be studying also the graded identities for the Jordan algebra of the upper triangular matrices. In both cases we aim at considering all possible gradings by finite groups. Having c...

- Graded identities in Lie Algebras, BP.DR
### Abstract

We shall study graded identities in Lie algebras and other nonassociative algebras. First we shall study the n-graded identities for the Lie algebra of the n x n traceless matrices over a field K. We shall study the graded identities for the Cayley-Dickson algebra as well, equipped with all possible gradings by finite groups. Having finished this research we shall work with graded ident...

Scholarships abroad

- Graded identities on finite dimensional graded simple Lie álgebras, BE.EP.DR
### Abstract

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 ...

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| Ongoing research grants |

18 /
11
| Completed research grants |

4 /
4
| Ongoing scholarships in Brazil |

6 /
2
| Completed scholarships in Brazil |

1 /
1
| Completed scholarships abroad |

30 /
19
| All research grants and scholarships |

Associated processes |

(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)

Publications | 12 |

Citations | 48 |

Cit./Article | 4.0 |

Data from Web of Science |

KOSHLUKOV, PLAMEN; SILVA, DIOGO DINIZ P. S.. 2-Graded polynomial identities for the Jordan algebra of the symmetric matrices of order two.** Journal of Algebra**, v. 327, n. 1, p. 236-250, FEB 1 2011. Web of Science Citations: 3. (07/00447-4, 05/60337-2)

KOSHLUKOV, PLAMEN; LA MATTINA, DANIELA. Graded algebras with polynomial growth of their codimensions.** Journal of Algebra**, v. 434, p. 115-137, JUL 15 2015. Web of Science Citations: 9. (14/09310-5, 14/07021-6)

ALVES, SERGIO M.; BRANDAO, JR., ANTONIO P.; KOSHLUKOV, PLAMEN. GRADED CENTRAL POLYNOMIALS FOR T-PRIME ALGEBRAS.** COMMUNICATIONS IN ALGEBRA**, v. 37, n. 6, p. 2008-2020, 2009. Web of Science Citations: 2. (05/60337-2)

KOSHLUKOV, PLAMEN; ZAICEV, MIKHAIL. Identities and isomorphisms of graded simple algebras.** Linear Algebra and its Applications**, v. 432, n. 12, p. 3141-3148, JUL 1 2010. Web of Science Citations: 15. (05/60337-2, 08/02938-8)

KOSHLUKOV, PLAMEN. Graded polynomial identities for the Lie algebra sl(2)(K).** INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION**, v. 18, n. 5, p. 825-836, AUG 2008. Web of Science Citations: 14. (05/60337-2)

KOSHLUKOV, PLAMEN; YUKIHIDE, FELIPE. Group gradings on the Lie algebra of upper triangular matrices.** Journal of Algebra**, v. 477, p. 294-311, MAY 1 2017. Web of Science Citations: 2. (14/09310-5, 13/22802-1)

KOSHLUKOV, PLAMEN; YASUMURA, FELIPE YUKIHIDE. Group gradings on the Jordan algebra of upper triangular matrices.** Linear Algebra and its Applications**, v. 534, p. 1-12, DEC 1 2017. Web of Science Citations: 1. (14/09310-5, 13/22802-1)

IOPPOLO, ANTONIO. Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3.** INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION**, v. 30, n. 4, p. 821-838, JUN 2020. Web of Science Citations: 0. (18/17464-3)

YASUMURA, FELIPE YUKIHIDE; KOSHLUKOV, PLAMEN EMILOV. Asymptotics of graded codimension of upper triangular matrices.** Israel Journal of Mathematics**, v. 223, n. 1, p. 423-439, FEB 2018. Web of Science Citations: 0. (14/09310-5, 13/22802-1)

LA MATTINA, DANIELA. On algebras of polynomial codimension growth.** SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES**, v. 10, n. 2, p. 312-320, DEC 2016. Web of Science Citations: 0. (14/07021-6)

ALVES, SERGIO M.; BRANDAO, JR., ANTONIO P.; KOSHLUKOV, PLAMEN. GRADED CENTRAL POLYNOMIALS FOR T-PRIME ALGEBRAS.** COMMUNICATIONS IN ALGEBRA**, v. 37, n. 6, p. 2008-2020, 2009. Web of Science Citations: 2. (05/60337-2)

KOSHLUKOV, PLAMEN; LA MATTINA, DANIELA. Graded algebras with polynomial growth of their codimensions.** Journal of Algebra**, v. 434, p. 115-137, JUL 15 2015. Web of Science Citations: 9. (14/09310-5, 14/07021-6)

(References retrieved automatically from State of São Paulo Research Institutions)

JUNIOR, Ednei Aparecido Santulo. Mergulhos graduados de PI-algebras. Tese (Doutorado) - Instituto de Matemática, Estatística e Computação Científica. Universidade Estadual de Campinas (UNICAMP). (03/07793-4)

AZEVEDO, Sergio Sardinha de. Identidades graduadas para algebras de matrizes. Tese (Doutorado) - Instituto de Matematica, Estatistica e Computação Cientifica. Universidade Estadual de Campinas. (98/16449-5)

SILVA, Diogo Diniz Pereira da Silva e. Identidades graduadas em álgebras não-associativas. Tese (Doutorado) - Instituto de Matemática, Estatística e Computação Científica. Universidade Estadual de Campinas (UNICAMP). (07/00447-4)

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