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(Co)chain complexes, abelian Categories, (pre)sheaves, (co)homology in various (possibly highly generalized) settings, spectra, derived functors, resolutions, spectral sequences, homotopy categories. Chain complexes in an abelian category form the heart of homological algebra.
5
votes
Accepted
Can the 'linkages' between equivalent extensions of modules of an algebraic group be taken t...
The linkage bound is 2.
If the algebraic group is simple, say over an algebraically closed $k$,
then one has the following lemma.
Lemma. If $V$, $W$ are finite dimensional,
there is an $m$ dependin …