Constructing Canonical Bases of Quantized Enveloping Algebras

DOI10.1080/10586458.2002.10504683zbMath1116.17304OpenAlexW2113441254MaRDI QIDQ5472014

Willem A. De Graaf

Publication date: 14 June 2006

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1062621212

zbMATH Keywords

algorithmsQuantum groupscanonical bases

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (3)

An Algorithm to Compute the Canonical Basis of an Irreducible Module Over a Quantized Enveloping Algebra ⋮ Modules with a Demazure flag ⋮ A local characterization of \(B_2\) regular crystals

Cites Work

• Unnamed Item
• Unnamed Item
• Cones, crystals, and patterns
• Kazhdan-Lusztig polynomials and canonical basis
• Canonical basis for type \(B_2\)
• Algorithms to obtain the canonical basis in some fundamental modules of quantum groups
• Tensor product multiplicities, canonical and totally positive varieties
• Paths and root operators in representation theory
• Braid group action and canonical bases
• Canonical basis for typeA,₃
• A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE U_q(sl_n)-MODULE
• Introduction to quantum groups
• Computing with quantized enveloping algebras: PBW-type bases, highest-weight modules and \(R\)-matrices

This page was built for publication: Constructing Canonical Bases of Quantized Enveloping Algebras