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An Algorithm to Compute the Canonical Basis of an Irreducible Module Over a Quantized Enveloping Algebra

Published online by Cambridge University Press:  01 February 2010

Willem A. de Graaf
Willem A. de Graaf
Affiliation:
Mathematical Institute, University of Utrecht, The [email protected], http://www.math.uu.nl/people/graaf/

Abstract

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The paper describes an algorithm to compute the canonical basis of an irreducible module over a quantized enveloping algebra of a finite-dimensional semisimple Lie algebra. The algorithm works for any module that is constructed as a submodule of a tensor product of modules with known canonical bases.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 6 , 2003 , pp. 105 - 118
Copyright
Copyright © London Mathematical Society 2003

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