6 papers · 1 filter
On Poincare Polinomials of Hyperbolic Lie Algebras
Hasan R. Karadayi, M. Gungormez
Poincare polinomials of hyperbolic Lie algebras, which are given by and in the Kac's notation, are calculated explicitly. The results show that there is a significant…
Special Weights and Roots for Finite Lie Algebras
Hasan R. Karadayi, Meltem Gungormez
With the introduction of special roots, we show the existence of some special weights with quite interesting properties for finite Lie algebras. We propose and discuss two statemen…
Weyl Orbit Characters and Schur Functions
H. R. Karadayi, M. Gungormez
For finite Lie algebras, it is shown that characters can be defined first for Weyl orbits and then for irreducible representations. For Lie algebras, weight multiplicities ca…
Permutation Weights for Affine Lie Algebras
Hasan R. Karadayi, Meltem Gungormez
We show that permutation weights, which are previously introduced for finite Lie algebras, can be appropriately defined also for affine Lie algebras. This allows us to classify all…
Summing over the Weyl Groups of E_7 and E_8
Hasan R. Karadayi, Meltem Gungormez
It is known that summations over Weyl groups of Lie algebras is a problem which enters in many areas of physics as well as in mathematics. For this, a method which we would like to…
A_N Multiplicity Rules And Schur Functions
Hasan R. Karadayi
We show that a specialization in Weyl character formula can be carried out in such a way that its right-hand side becomes simply a Schur Function. For this, we need the use of fund…