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my beamer presentation - Departament de matemàtiques

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A Σ 4 -poset<br />

Outline<br />

Definitions and examples<br />

Homological properties of kC-mod<br />

An example<br />

Finite categories and their algebras<br />

Re<strong>presentation</strong>s and modules<br />

Motivation<br />

The poset of all non-trivial 2-subgroups of Σ 4 , S 2 (Σ 4 ):<br />

· · ·<br />

· · ·<br />

D 8 <br />

D 8 D 8<br />

<br />

<br />

C 2 × C 2 C 4 V<br />

<br />

<br />

<br />

<br />

C 2<br />

C 2<br />

C 2<br />

<br />

C 2<br />

C 2<br />

Fei Xu<br />

Finite category algebras

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