Structures on the Hochschild cohomology and homology for associative algebras

• Grant number: 14/19521-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2015
• End date: May 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Eduardo do Nascimento Marcos
• Grantee: Iurii Volkov
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The computation of Hochschild Cohomology and Homology is a dificult task, in general. Lately a lot of work in the theory of representation has been dedicated to this and our work will continue in this direction. We point out that these are invariants of the derived cathegory of the module category. The candidate to this pos doc, made a beautiful theses where he studied various structure which can be defined in these invariants.We want to continue in this direction.

Scientific publications

(4)

(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)

MARCOS, EDUARDO N.; SOLOTAR, ANDREA; VOLKOV, YURY. Generating degrees for graded projective resolutions. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 10, OCT 2018. (14/19521-3, 14/09310-5)

KAYGORODOV, IVAN; VOLKOV, YURY. Conservative algebras of 2-dimensional algebras, II. COMMUNICATIONS IN ALGEBRA, v. 45, n. 8, p. 3413-3421, 2017. (14/24519-8, 14/19521-3)

KAYGORODOV, IVAN; POPOV, YURY; VOLKOV, YURY. Degenerations of binary Lie and nilpotent Malcev algebras. COMMUNICATIONS IN ALGEBRA, v. 46, n. 11, p. 4928-4940, 2018. (14/24519-8, 16/16445-0, 14/19521-3)

VOLKOV, YURY; ZVONAREVA, ALEXANDRA. Derived Picard groups of selfinjective Nakayama algebras. MANUSCRIPTA MATHEMATICA, v. 152, n. 1-2, p. 199-222, JAN 2017. (14/19521-3)