TRR 358 - Tame patterns in the representation theory of reductive groups and arithmetic geometry (Subproject C03)


One says that an associative algebra has tame representation type if a complete classification of its indecomposable representations is possible, at least in principle. For example the classification of Harish-Chandra modules for the group SL(2,R) was reduced by Gelfand to such an algebra. We shall study algebras arising from more general reductive groups over the real numbers or a number field, and from classification problems in arithmetic algebraic geometry. When the base field is algebraically closed, we can often understand which of these algebras are tame; we seek to do the same over more general bases.

DFG Programme CRC/Transregios

Subproject of TRR 358: Integral Structures in Geometry and Representation Theory

Applicant Institution Universität Bielefeld

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Project type:
Project duration:
01/2023 - 12/2026
Funded by:
DFG-Datenbank gepris

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Principal Investigators

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Prof. Dr. Igor Burban


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Prof. Dr. Fabian Januszewski

Algebra and Number Theory

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Project Team

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William Crawley-Boevey

Universität Bielefeld

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Cooperating Institutions

Universität Bielefeld

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