Description of modules over self-injective algebras of finite representation type - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T03:53:48Z http://mathoverflow.net/feeds/question/108322 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/108322/description-of-modules-over-self-injective-algebras-of-finite-representation-type Description of modules over self-injective algebras of finite representation type Yury 2012-09-28T07:21:53Z 2012-09-28T08:57:30Z <p>Is there any description of indecomposable modules and irreducible morphisms over self-injective algebras of finite representaion type. I am intrested mainly in such description for nonstandard algebras of tree type $D_{3n}$. Modulo stable equivalence, such algebra can be represented by the quiver $Q$, with vertices $Q_0={0,\dots,n-1}$ (considered modulo $n$), arrows are $a_i\colon i\rightarrow i+1$ $(0\leq i\leq n-1)$ and $b\colon 0\rightarrow 0$, and the ideal $I$ generated by elements $a_i\cdots a_0a_{n-1}\cdots a_i$, $b^2+a_{n-1}\cdots a_0$ and $a_0a_{n-1}+a_0ba_{n-1}$. The characteristic of the field equals $2$.</p>