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Algorithms to obtain the canonical basis in some fundamental modules of quantum groups

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Publication:1355552
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DOI10.1006/jabr.1996.0398zbMath0874.17011OpenAlexW2096412442WikidataQ56285895 ScholiaQ56285895MaRDI QIDQ1355552

Bethany R. Marsh

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0398


zbMATH Keywords

algorithmscrystal basisquantized universal enveloping algebracanonical basissequence of Kashiwara's operators


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Universal enveloping (super)algebras (17B35)


Related Items (3)

An Algorithm for Computing the Global Basis of a Finite Dimensional IrreducibleUq(so2n+1) orUq(so2n)-Module ⋮ Constructing Canonical Bases of Quantized Enveloping Algebras ⋮ An algorithm for computing the global basis of an irreducible \(U_q(sp_{2n})\)-module




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