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

3 votes
3 answers
637 views

Quiver on tensor product

Let $Q=(Q_{0},Q_{1},h,t)$ be a finite quiver where $Q_{0}$ are the vertices, $Q_{1}$ the arrows and we have two maps $h: Q_{1} \rightarrow Q_{0}$ (head) and $t: Q_{1} \rightarrow Q_{0}$ (tail). Fix a …
3 votes
1 answer
216 views

Ring completion of $kQ$

Hello, Let $Q$ be a finite quiver, let $M$ denote the arrow ideal and let $kQ$ denote the path algebra. Endow $kQ$ with the $M$-adic topology. Now let $\mathcal{A}$ be the set of all formal series ${ …