Galois orders, twisted generalized Weyl algebras and their representations

• Grant number: 08/10688-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2009
• End date: April 30, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Jonas Torbjorn Hartwig
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 05/60337-2 - Lie and Jordan algebras, their representations and generalizations, AP.TEM

Abstract

This is a research project in the area of representation theory of Lie algebras and associative algebras. The main goal of the project is to study certain families of infinite dimensional associative algebras and their module categories, in particular to study the categories of weight modules for twisted generalized Weyl 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)

FUTORNY, VYACHESLAV; HARTWIG, JONAS T.. Multiparameter twisted Weyl algebras. Journal of Algebra, v. 357, p. 69-93, MAY 1 2012. (08/10688-1, 05/60337-2)

HARTWIG, J. T.; OINERT, J.. Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras. Journal of Algebra, v. 373, p. 312-339, JAN 1 2013. (08/10688-1)

FUTORNY, VYACHESLAV; HARTWIG, JONAS T.. ON THE CONSISTENCY OF TWISTED GENERALIZED WEYL ALGEBRAS. Proceedings of the American Mathematical Society, v. 140, n. 10, p. 3349-3363, OCT 2012. (08/10688-1)