An algorithm for computing the global basis of an irreducible \(U_q(sp_{2n})\)-module

DOI10.1016/S0196-8858(02)00002-7zbMath1026.17016arXivmath/0201143OpenAlexW2028502287MaRDI QIDQ1865251

Cédric Lecouvey

Publication date: 26 March 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201143

zbMATH Keywords

quantum algebraglobal basissymplectic tableaux

Mathematics Subject Classification ID

Related Items (4)

An Algorithm for Computing the Global Basis of a Finite Dimensional IrreducibleU_q(so_2n+1) orU_q(so_2n)-Module ⋮ An Algorithm to Compute the Canonical Basis of an Irreducible Module Over a Quantized Enveloping Algebra ⋮ Crystal bases and generalized Lascoux–Leclerc–Thibon (LLT) algorithm for the quantum affine algebra Uq(Cn(1)) ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras

Cites Work

• 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
• Crystalizing the q-analogue of universal enveloping algebras
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• A symplectic jeu de taquin bijection between the tableaux of King and of De Concini
• A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE U_q(sl_n)-MODULE
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