OFFSET

0,6

COMMENTS

Let V=Sum_{k=1..infty} V_k be the graded vector space H_*(PC^infty)[1], which has PoincarĂ© series [or Poincare series] p(t)=t/(1-t^2). Let L be the free graded Lie algebra V. There is a graded involution theta on V induced by an involution on PC^infty, which acts on V_{2k+1} as (-1)^k. The sequence gives the dimensions of the +1-eigenspaces of theta on the graded components of L.

Lehrer-Segal give a recurrence; both this reference and the Lehrer article give the first 50 terms.

REFERENCES

G. I. Lehrer and G. B. Segal, Homology stability for classical regular semisimple varieties, Math. Zeit., 236 (2001), 251-290; p. 285.

LINKS

CROSSREFS

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Oct 28 2004

STATUS

approved