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

Author:

de Graaf Willem A.

Abstract

AbstractThe 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.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference17 articles.

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2. A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE Uq(sln)-MODULE

3. 2 THE GAP GROUP, ‘GAP – Groups, algorithms, and programming, Version 4.3’, 2002; http://www.gap-system.org.

4. 1 Bourbaki N. , Groupes et algèbres de Lie (Hermann, Paris, 1968) Chapters 4, 5 and 6.

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