Orbit Structures in Representation Spaces
01.09.2007 – 30.09.2012
Summary
Scientific abstract
A central theme in my research is the interplay between the geometric and topological properties of a vector space on the one hand and the algebraic structure of its symmetries on the other hand. One way to understand the symmetries is by studying families of transformations leaving the given structure invariant. These families of transformations play a fundamental role in many mathematical theories.
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Persons
Applicants
- Karin Baur, Institut für Mathematik und Wissenschaftliches Rechnen Karl-Franzens Universität Graz, Austria
Employees
- Karin Baur, Institut für Mathematik und Wissenschaftliches Rechnen Karl-Franzens Universität Graz, Austria
- Soumaia Ghandour
- Anne Moreau
- Jerney Pribosek
Disciplines and keywords
mySNF disciplines (provided by researchers): Mathematics
Fields of research (mapped from mySNF Disciplines): Mathematical Sciences
Keywords: Representation theory of algebraic groups and of, Lie algebras, Cluster categories, Minimal orbits, Secant varieties, Tropical geometry, Cluster algebras, categorifications, Tensor products, Algebraic groups and Lie algebras, Richardson orbits, m-cluster categories, Triangulated categories, Orbit structure, Representation Theory, Cluster categories, Cluster algebras