On Poincare Polinomials of Hyperbolic Lie Algebras

Details On Poincare Polinomials of Hyperbolic Lie Algebras On Poincare Polinomials of Hyperbolic Lie Algebras

2005-04-19

arxiv.org/abs/math-ph/0504061v1

Physics

Mathematical Physics

7 pages, 5 figures, Plain TeX

Scientific paper

Poincare polinomials of hyperbolic Lie algebras, which are given by $HA_2$ and $HA_3$ in the Kac's notation, are calculated explicitly. The results show that there is a significant form for hyperbolic Poincare polinomials. Their explicit forms tend to be seen as the ratio of a properly chosen finite Poincare polinomial and a polinomial of finite degree. To this end, by choosing the Poincare polinomials of $D_4$ and $D_5$ Lie algebras, we show that these polinomials come out to be of order 11 and 19 respectively for $HA_2$ and $HA_3$.

Affiliated with

Also associated with

No associations

Rating

On Poincare Polinomials of Hyperbolic Lie Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Poincare Polinomials of Hyperbolic Lie Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Poincare Polinomials of Hyperbolic Lie Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-40236