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

DOI10.1112/S1461157000000401zbMath1067.17001MaRDI QIDQ4827611

Willem A. De Graaf

Publication date: 18 November 2004

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/6/lms2002-032/

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (1)

Global crystal bases and q-Schur algebras

Cites Work

• Cones, crystals, and patterns
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• Crystal bases and tensor product decompositions of \(U_ q(G_ 2)\)- modules
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• An algorithm for computing the global basis of an irreducible \(U_q(sp_{2n})\)-module
• Paths and root operators in representation theory
• A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE U_q(sl_n)-MODULE
• Constructing Canonical Bases of Quantized Enveloping Algebras

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