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2 votes
0 answers
62 views

Quiver and relations for Hopf algebras associated to quiver algebras

Let $A=KQ/I$ be a finite dimensional quiver algebra with admissible relations $I$. $A$ can be made into a restricted Lie algebra over a field of characteristic $p$ via $[x,y]=xy-yx$ and $x^{p}=x^p$. ...
5 votes
1 answer
381 views

When is a given quiver algebra a hopf algebra?

Given a finite dimensional selfinjective quiver algebra A over a finite field (or more generally an arbitrary field). Whats the best way to check if the algebra A has a Hopf algebra structure or not? ...