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Linear and unitary representations of posets: subspaces, a quadratic form, and induced modules

Grant number: 17/24563-5
Support type:Research Grants - Visiting Researcher Grant - International
Duration: May 10, 2018 - June 06, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Kostiantyn Iusenko
Grantee:Kostiantyn Iusenko
Visiting researcher: Mark Kleiner
Visiting researcher institution: Syracuse University, United States
Home 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

This is a research project in the area of representation theory of posets. The following problems will be studies: categorical connection between linear and unitary representations of posets, dimensions of indecomposables and quadratic forms associated with posets, explicit formulas in the language of induced modules for the Coxeter functors. (AU)

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