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Research at IAZ

Research at IAZ is focussing on algebra, number theory and representation
theory.

Algebraic representation theory is a cross-disciplinary area of mathematics
that in particular aims at making abstract algebraic objects accessible
to combinatorial and computational methods,
while at the same time trying to find
and to use deeper categorical and homological structures. We are working on
representations of finite and of algebraic groups, of Lie algebras and of
associative algebras. Some of our typical topics are ranging from
symmetric groups and other finite
groups of Lie type over classical groups, Brauer algebras and Schur algebras
to Auslander Reiten theory, cohomology and
homological algebra as well as derived and
triangulated categories. Connections to geometry, topology, mathematical
physics and in particular
number theory are studied for instance in the context of non-commutative
geometry, categories of sheaves, quantum algebras, poynomial functors, integral
representation theory and affine Hecke algebras.

There are strong connections and synergies
among the different groups at IAZ and with other
mathematicians in Stuttgart, in particular at IGT, as well as a wide
range of national and international connections.

To learn more about our current research interests you may want to attend
our

research seminar or to browse the webpages of the

members of IAZ

Back to IAZ