A091577 Poincaré series [or Poincare series] of the preprojective algebra of a Dynkin diagram of type E_6.

6, 10, 14, 18, 20, 20, 20, 18, 14, 10, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset: 0

Author

Paul Boddington, Jan 22 2004

Keywords

• easy
• nonn

Comments

The series is a polynomial because the algebra is finite dimensional. See the entry for A091575 for a general formula.

References

• I. Reiten, Dynkin diagrams and the representation theory of algebras, Notices of the AMS, Vol. 44, Number 5.

Crossrefs

Cf. A091571, A091572, A091573, A091574, A091575, A091576.