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Marcos Soriano
University of Hannover
A homological interpretation of Schur elements
Friday 12th March, 12:05-12:55pm,
Carslaw 373.
We start from a fairly general setup - which for example applies to
the generic Iwahori-Hecke algebras associated to finite Coxeter
groups. In this talk we derive in a purely ring-theoretical way a
homological characterization of the well-known Schur elements,
which are usually associated to the irreducible representations of
such an algebra. The Schur elements will arise in this context as the
generators of ideals which are intersections of annihilators of certain
extension groups. If time allows, we will also show how to compute
another important homological invariant of generic Iwahori-Hecke
algebras; namely, the Higman ideal.
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