On Poincare Polinomials of Hyperbolic Lie Algebras
نویسنده
چکیده
Poincare polinomials of hyperbolic Lie algebras, which are given by HA2 and HA3 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 D4 and D5 Lie algebras, we show that these polinomials come out to be of order 11 and 19 respectively for HA2 and HA3.
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