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

0,1

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.

Links

Table of n, a(n) for n=0..82.

Crossrefs

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

Sequence in context: A167200 A077667 A284945 * A115036 A332766 A315169

Adjacent sequences: A091574 A091575 A091576 * A091578 A091579 A091580

Keyword

easy,nonn

Author

Paul Boddington, Jan 22 2004

Status

approved