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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

3 votes
1 answer
178 views

On the definition and an example of silting/tilting subcategories in a triangulated categori...

In the paper "Silting mutation in triangulated categories" by Aihara and Iyama, I stumbled upon this nice definition( Definition 2.1) of a tilting/silting subcategory of a triangulated category $\mat …
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  • 83
5 votes
0 answers
186 views

On the not so clear relationship between torsion theories and localization for a newcomer

Given an hereditary torsion theory $(\mathcal{T}, \mathcal{F})$ on an abelian category $\mathcal{A}$, how we can relate this to a localization (i.e Ore localization). This is mentioned with not so muc …
Køb's user avatar
  • 83