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Algorithms for affine Kac-Moody algebras

Terry Gannon

Published 2001-06-14, updated 2002-02-12Version 2

Weyl groups are ubiquitous, and efficient algorithms for them -- especially for the exceptional algebras -- are clearly desirable. In this paper we provide several of these, addressing practical concerns arising naturally for instance in computational aspects of the study of affine algebras or Wess-Zumino-Witten conformal field theories. We also discuss the efficiency and numerical accuracy of these algorithms.

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