Project Details
Projekt
Categorical representation theory (A20)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555
Categorical representation theory is a categorical lift of the concept of representations: groups or algebras are replaced by monoidal categories and one considers functorial actions of these on categories. Beginning in 2011, Mazorchuk and Miemietz developed the theory of finitary 2-representations. Their theory can be considered as a categorification of the theory of finite-dimensional representations of finite-dimensional algebras. Whereas algorithmic techniques are well-established in "classical" representation theory and are part of many computer algebra systems, the categorical lift has not yet received much attention from a computational point of view. With this project we want to begin a systematic development of computational tools in categorical representation theory.
DFG Programme
CRC/Transregios
Applicant Institution
Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
Project Heads
Professor Dr. Ulrich Thiel, since 1/2021; Professor Dr. Moritz Weber, since 1/2025
