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

6 votes

Quiver with two objects and two arrows composing to zero

The path algebra of this quiver is also the Yoneda algebra $$\mathrm{Ext}^\bullet(\mathcal O_{\mathbb P_1}\oplus \mathcal O_0,\mathcal O_{\mathbb P_1}\oplus \mathcal O_0)$$ of the direct sum of the st …
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