An Algorithm for Computing the Global Basis of a Finite Dimensional IrreducibleUq(so2n+1) orUq(so

DOI10.1081/AGB-120029917zbMath1104.17009arXivmath/0211442MaRDI QIDQ3155528

Cédric Lecouvey

Publication date: 17 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211442

zbMATH Keywords

combinatoricsquantum groupsrepresentation theoryglobal bases

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (2)

Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Crystal bases and combinatorics of infinite rank quantum groups

Cites Work

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• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Algorithms to obtain the canonical basis in some fundamental modules of quantum groups
• \(q\)-wedge modules for quantized enveloping algebras of classical type
• An algorithm for computing the global basis of an irreducible \(U_q(sp_{2n})\)-module
• Perfect crystals and \(q\)-deformed Fock spaces
• Crystalizing the q-analogue of universal enveloping algebras
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE U_q(sl_n)-MODULE

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