Tilting theory, matrix problems and representations of linear groups

• Grant number: 12/01359-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 01, 2012
• End date: November 30, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Vyacheslav Futorny
• Visiting researcher: Yuriy Drozd
• Visiting researcher institution: National Academy of Sciences of Ukraine (NASU), Ukraine
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

We will develop theory of unitary representationsof the so called "mixed" Lie groups, that is those which are neither reductive nor solvable. In particular, we will consider linear groups over tubular algebras and extend the results for real linear groups as well as to linear groups over other locally compact and finite fields. (AU)