Constructing canonical bases of quantized enveloping algebras

Preprint, Other literature type English OPEN
de Graaf, Willem A.;
(2002)
  • Publisher: A K Peters, Ltd.
  • Journal: issn: 1058-6458
  • Subject: algorithms | canonical bases | Quantum groups | 68W30 | 17B37
    acm: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION

An algorithm for computing the elements of a given weight of the canonical basis of a quantized enveloping algebra is described. Subsequently, a similar algorithm is presented for computing the canonical basis of a finite-dimensional module.
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