Monomial Realization of the Tensor Product of Crystals for Quantum Finite Algebras

DOI10.1080/00927872.2013.781608zbMath1330.17018OpenAlexW1970069389MaRDI QIDQ5417967

Jeong-Ah Kim, Dong-Uy Shin

Publication date: 23 May 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.781608

zbMATH Keywords

crystalsNakajima monomialstensor product decompositions

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)

Related Items (3)

Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials ⋮ Decomposition theorem for product of fundamental crystals in monomial realization ⋮ Highest weights for truncated shifted Yangians and product monomial crystals

Cites Work

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• On crystal bases of the \(q\)-analogue of universal enveloping 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
• Quiver varieties and finite dimensional representations of quantum affine algebras
• Crystal Bases and Monomials forU_q(G₂)-Modules

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