Derived FunctorsExplores derived functors, Ext-modules, Yoneda extensions, and derived categories in the context of extending modules.
Linearly reductive groupsDiscusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.
Mayer-Vietoris SequenceExplores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.
Module over a RingExplores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
Group representations constructionsExplores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.