Tuesday, July 8, 14:00.
Tiago Cruz, On the representation theory of Schur algebras S(p,2p)
Abstract:
Schur algebras of the form S(n, n) are well understood from the
homological point of view. In particular, their global and dominant
dimensions are known. The story is completely different for Schur algebras
S(n,d) with n < d in positive characteristic.
In this talk, we explain several homological properties of Schur algebras
S(p,2p) over a field of positive characteristic p.
In particular, we refine our understanding of Schur-Weyl duality for these
algebras by placing them within an Auslander-type correspondence. In doing so,
we find a new duality for these class of algebras in terms of tilting theory.
This is based on joint work with Karin Erdmann.