Polynomial integro-differential operators and their representations

• Grant number: 17/02946-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 28, 2017
• End date: April 23, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Volodymyr Bavula
• Visiting researcher institution: University of Sheffield, England
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

We are planning to study indecomposable representations of algebras of polynomial integro-differential operators of many variables. This will generalize our previous work. Besides, we will study the extensions of modules over these algebras. (AU)

Scientific publications

(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)

V. BAVULA, V.; BEKKERT, V.; FUTORNY, V.. EXPLICIT DESCRIPTION OF GENERALIZED WEIGHT MODULES OF THE ALGEBRA OF POLYNOMIAL INTEGRO-DIFFERENTIAL OPERATORS IIn. ASIAN JOURNAL OF MATHEMATICS, v. 25, n. 5, p. 30-pg., 2021-10-01. (18/23690-6, 17/02946-0)

BAVULA, VOLODYMYR; FUTORNY, VYACHESLAV. Rings of invariants of finite groups when the bad primes exist. COMMUNICATIONS IN ALGEBRA, v. 47, n. 10, MAR 2019. (14/09310-5, 17/02946-0)