GASC seminar: ``Minimal extending modules of torsion classes- by Shijie Zhu (Northeastern)
``Minimal extending modules of torsion classes'', by Shijie Zhu:
Torsion classes of finitely generated modules over a finite dimensional algebra form a lattice.
We characterize the notion of cover relations, complete join irreducible elements and canonical
join representations in the context of the lattice of torsion classes by minimal extending modules.
As an application, we study the algebra $RA_n$ whose lattice of torsion classes
is isomorphic to the weak order of the Weyl group of type $A_n$. This is a joint work
with Emily Barnard and Andrew Carrol.
[Pretalk for graduate students 11:45-12:10.
Monday, November 27, 2017 at 12:15pm to 1:20pm
Math Department, 511 Lake Hall