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