1
$\begingroup$

Let $A$ be a finite dimensional connected quiver algebra and $\Omega^n(A)$ the fullsubcategory of direct summands of $n$-th syzygy modules for some $n \geq 1$. For example in case $A$ is Gorenstein of Gorenstein dimension $g$, for $n=g$ this is the subcategory of Gorenstein projective $A$-modules.

Question: Is there a way using the GAP-package QPA to obtain the left and right almost split sequences of a module $X \in \Omega^n(A)$ inside the subcategory $\Omega^n(A)$?

$\endgroup$
2
$\begingroup$

As of now the only possibility would be if the subcategory $\Omega^n(A)$ is $^\perp T$ for some cotilting module $T$. Then one can apply the command AlmostSplitSequenceInPerpT( T, M ) to get the almost split sequence in $^\perp T$ ending in the module $M$.

We hope these comments are helpful.

The QPA-team.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.