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On Poincare Polinomials of Hyperbolic Lie Algebras | Hasan R. Karadayi
; M.Gungormez
; | Date: |
19 Apr 2005 | Subject: | Mathematical Physics | math-ph math.MP | Abstract: | 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 $HA_3$. | Source: | arXiv, math-ph/0504061 | Services: | Forum | Review | PDF | Favorites |
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