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Leandro Vendramin
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Would you please give some references concerning the number of indecomposable modules over preprojective algebras of type $A_n$?

More precisely, I need references about the following claim: The number of indecomposable modules over the preprojective algebra of type $A_n$ is:

  1. only one for $n=2$$n=1$,

  2. four for $n=3$$n=2$,

  3. $12$ for $n=4$$n=3$,

  4. $40$ for $n=5$$n=4$, and

  5. an infinite number of indecomposable modules for $n\geq6$$n\geq5$.

Would you please give some references concerning the number of indecomposable modules over preprojective algebras of type $A_n$?

More precisely, I need references about the following claim: The number of indecomposable modules over the preprojective algebra of type $A_n$ is:

  1. only one for $n=2$,

  2. four for $n=3$,

  3. $12$ for $n=4$,

  4. $40$ for $n=5$, and

  5. an infinite number of indecomposable modules for $n\geq6$.

Would you please give some references concerning the number of indecomposable modules over preprojective algebras of type $A_n$?

More precisely, I need references about the following claim: The number of indecomposable modules over the preprojective algebra of type $A_n$ is:

  1. only one for $n=1$,

  2. four for $n=2$,

  3. $12$ for $n=3$,

  4. $40$ for $n=4$, and

  5. an infinite number of indecomposable modules for $n\geq5$.

Source Link
Leandro Vendramin
  • 3.1k
  • 1
  • 23
  • 32

Indecomposable modules over preprojective algebras

Would you please give some references concerning the number of indecomposable modules over preprojective algebras of type $A_n$?

More precisely, I need references about the following claim: The number of indecomposable modules over the preprojective algebra of type $A_n$ is:

  1. only one for $n=2$,

  2. four for $n=3$,

  3. $12$ for $n=4$,

  4. $40$ for $n=5$, and

  5. an infinite number of indecomposable modules for $n\geq6$.