5 citations · 13 across the 15 of their papers we have counts for
15 papers
Explicit Calculations of Tensor Product Coefficients for E_7
Meltem Gungormez, Hasan R. Karadayi
We propose a new method to calculate coupling coefficients of E_7 tensor products. Our method is based on explicit use of E_7 characters in the definition of a tensor product. When…
A Brief Note On The Definition of Signature
Hasan R. Karadayi, Meltem Gungormez
It is known that signature of a Weyl group element is defined in terms of the number of its simple Weyl reflections. Actual calculations hence are not always possible especially fo…
Permutation Weights and Modular Poincare Polynomials for Affine Lie Algebras
M. Gungormez, H. R. Karadayi
Poincare Polynomial of a Kac-Moody Lie algebra can be obtained by classifying the Weyl orbit of its Weyl vector . A remarkable fact for Affine Lie algebras is that the nu…
Permutation Weights for A_r^(1) Lie Algebras
M. Gungormez, H. R. Karadayi
When it is based on Kac-Peterson form of Affine Weyl Groups, Weyl-Kac character formula could be formulated in terms of Theta functions and a sum over finite Weyl groups. We, inste…
On Characters of F_4 Lie Algebra
M. Gungormez, H. R. Karadayi
In a previous work, we have given an explicit method to obtain irreducible characters of finite Lie algebras without referring to Weyl character formula. Irreducible characters of…
On Poincare Polynomials of Hyperbolic Lie Algebras
Meltem Gungormez, Hasan R. Karadayi
We have general frameworks to obtain Poincare polynomials for Finite and also Affine types of Kac-Moody Lie algebras. Very little is known however beyond Affine ones, though we hav…