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arxiv: math/0211087 · v1 · submitted 2002-11-05 · 🧮 math.QA · math.RT

An algorithm to compute the canonical basis of an irreducible Uq(g)-module

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keywords algorithmcanonicalalgebrabasiscomputeirreduciblemodulemodules
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An algorithm is described 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 modules that are constructed as a submodule of a tensor product of modules with known canonical bases.

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