Extended Nakajima monomials and crystal \({\mathcal B}(\infty)\) for finite simple Lie algebras

DOI10.1016/j.jalgebra.2007.03.024zbMath1151.17006OpenAlexW1985600787WikidataQ115351467 ScholiaQ115351467MaRDI QIDQ2382993

Hyeonmi Lee

Publication date: 5 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.03.024

zbMATH Keywords

quantum groupscrystalmonomial model

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (5)

The \(\mathcal{B}(\infty)\) crystal for a family of generalized quantum groups ⋮ Young tableaux and crystal \(\mathcal B(\infty )\) for the exceptional Lie algebra types ⋮ Young tableaux and crystal \(\mathcal B(\infty)\) for finite simple Lie algebras ⋮ Nakajima Monomials and Crystals for Special Linear Lie Algebras ⋮ The crystal ℬ(∞) and extended Nakajima monomials

Cites Work

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• Young tableaux and crystal \(\mathcal B(\infty)\) for finite simple Lie 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
• Crystal bases for quantum classical algebras and Nakajima's monomials
• Monomial realization of crystal graphs for \(U_q(A_n^{(1)})\)
• Monomial realization of crystal bases for special linear Lie algebras
• Crystalizing the q-analogue of universal enveloping algebras
• Crystal Bases and Monomials forU_q(G₂)-Modules

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