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arXiv · 1007.2718

Permutation Weights for A_r^(1) Lie Algebras

M. Gungormez·H. R. Karadayi
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Abstract

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, instead, give a reformulation in terms of Schur functions which are determined by the so-called Permutation Weights and there are only a finite number of permutation weights at each and every order of weight depths . Affine signatures are expressed in terms of an index which by definition is based on a decomposition of horizontal weights in terms of some Fundamental Weights.

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BibTeXRIS

M. Gungormez, H. R. Karadayi. 2010-07-16. Permutation Weights for A_r^(1) Lie Algebras. https://arxiv.org/abs/1007.2718

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