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19 votes
1 answer
1k views

When should I expect a quiver with potential to be rigid?

This question is pretty technical, but there are some very smart people here. Fix a quiver Q, WITH oriented cycles. Let k[[Q]] be the completed path algebra. (Like the path algebra, but we allow ...
David E Speyer's user avatar
14 votes
2 answers
2k views

when are algebras quiver algebras ?

Good Morning from Belgium, I'm no stranger to the mantra that quiver-algebras are an extremely powerful tool (see for example the representation theory of finite dimensional algebras). But what is a ...
louis de Thanhoffer de Völcsey's user avatar
12 votes
3 answers
1k views

construct scheme from quivers?

I heard from some guys working in noncommutative geometry talking about the idea that one can construct the noncommutative space from quivers. I feel it is rather interesting. However, I can not image ...
Peter Lee 's user avatar
  • 1,265
7 votes
3 answers
399 views

Smallest faithful representation of an upper-triangular matrix quotient

This is a curiosity question that came out of teaching abstract algebra. Let $F$ be a field, and $n>1$ an integer. Let $F^{n \leq n}$ be the $F$-algebra of all upper-triangular $n\times n$-matrices ...
darij grinberg's user avatar
5 votes
1 answer
850 views

Why Jacobson, but not the left (right) maximals individually?

I firstly asked the following question on MathStackExchange a couple of months ago. I did not receive any answers, but a short comment. So, I decided to post it here, hoping to receive answers from ...
Kaveh's user avatar
  • 483
3 votes
0 answers
151 views

Hochschild homology and Chern character quiver with potential

I am a beginner in quiver theory so this question might not be suitable for mathoverflow. Let $(Q,W)$ be a quiver with potential and let $\Gamma$ be the Ginzburg DG-algebra associated to $(Q,W)$. Is ...
Libli's user avatar
  • 7,100
1 vote
0 answers
56 views

Structure of tame concealed algebra of Euclidean type

I wanted to know some references where people have studied the representation theory of tame concealed algebra of Euclidean type. What do we know about the structure of their module category? What ...
It'sMe's user avatar
  • 757