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

2002/11/05 by Willem A. de Graaf, W. A. de Graaf, de Graaf, W. A.
Computer Science · Mathematics · #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Polynomial and algebraic computation #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0211087

12 pages

arxiv created 2002/11/05 · openalex publication_date 2002/11/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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