On Poincare Polinomials of Hyperbolic Lie Algebras

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dc.creatorKaradayi, Hasan R.
dc.creatorGungormez, M.
dc.date2005-04-19
dc.date.accessioned2026-07-07T04:32:03Z
dc.date.available2026-07-07T04:32:03Z
dc.descriptionPoincare 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 $HA_3$.
dc.description7 pages, 5 figures, Plain TeX
dc.identifierhttps://arxiv.org/abs/math-ph/0504061
dc.identifierhttp://arxiv.org/abs/math-ph/0504061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58045
dc.subjectMathematical Physics
dc.titleOn Poincare Polinomials of Hyperbolic Lie Algebras
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