I have read several other questions about wild representation type but may I ask..what actually can be done and what have been done (such as partial results) about classifying indecomposable representations of the quiver $\mathbb{F_2}$?

Especially is it possible to find infinite (perhaps even countable) sets of continuous and discrete parameters that can be used to classify its representation of a certain given dimension perhaps with some exceptions indexed by a known set? If this can be done than indecomposable representations of $\mathbb{F_2}$ quiver will be classified.

Would you please provide some partial results (and especially recent ones) and some ideas about how this problem might be solved? Thank you very much!

I have read several other questions about wild representation type but may I ask..what actually can be done and what have been done (such as partial results) about classifying indecomposable representations of the quiver $\mathbb{F_2}$?

Especially is it possible to find infinite (perhaps even countable) sets of continuous and discrete parameters that can be used to classify its representation of a certain given dimension perhaps with some exceptions indexed by a known set? If this can be done than indecomposable representations of the quiver of one vertex and two arrows (which we call $\mathbb{F_2}$ from now on) will be classified.

Would you please provide some partial results (and especially recent ones) and some ideas about how this problem might be solved? Thank you very much!

I have read several other questions about wild representation type but may I ask..what actually can be done and what have been done (such as partial results) about the indecomposable representations of the quiver $\mathbb{F_2}$? What I get from my advisor as well as other questions on MathOverflow is that this is a highly avoided subject. I also tried Math.SE but the question was unanswered. I know from here that the module category of a wild algebra contains copies of module categories of all finite dimensional algebras. But I still believe that something may be done (and already have been done) about it.

Would you please provide some partial results (and especially recent ones) and some ideas about how this problem might be solved? Thank you very much!

I have read several other questions about wild representation type but may I ask..what actually can be done and what have been done (such as partial results) about classifying indecomposable representations of the quiver $\mathbb{F_2}$?

Especially is it possible to find infinite (perhaps even countable) sets of continuous and discrete parameters that can be used to classify its representation of a certain given dimension perhaps with some exceptions indexed by a known set? If this can be done than indecomposable representations of $\mathbb{F_2}$ quiver will be classified.

Would you please provide some partial results (and especially recent ones) and some ideas about how this problem might be solved? Thank you very much!

I have read several other questions about wild representation type but may I ask..what actually can be done and what have been done (such as partial results) about the indecomposable representations of the quiver $\mathbb{F_2}$? What I get from my advisor as well as other questions on MathOverflow is that this is a highly avoided subject. I know from here that the module category of a wild algebra contains copies of module categories of all finite dimensional algebras. But I still believe that something may be done (and already have been done) about it. Would you please provide some partial results (and especially recent ones) and some ideas about how this problem might be solved? Thank you very much!

I have read several other questions about wild representation type but may I ask..what actually can be done and what have been done (such as partial results) about the indecomposable representations of the quiver $\mathbb{F_2}$? What I get from my advisor as well as other questions on MathOverflow is that this is a highly avoided subject. I also tried Math.SE but the question was unanswered. I know from here that the module category of a wild algebra contains copies of module categories of all finite dimensional algebras. But I still believe that something may be done (and already have been done) about it.

Would you please provide some partial results (and especially recent ones) and some ideas about how this problem might be solved? Thank you very much!