Crystals and Nakajima monomials for quantum generalized Kac-Moody algebras

DOI10.1016/J.JALGEBRA.2008.02.001zbMath1171.17009OpenAlexW1972805691MaRDI QIDQ933370

Seok-Jin Kang, Jeong-Ah Kim, Kyeonghoon Jeong, Dong-Uy Shin

Publication date: 21 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.02.001

zbMATH Keywords

generalized Kac-Moody algebrascrystalsNakajima monomials

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (9)

Nakajima Monomials, Strip Bundles, and the CrystalsB(∞) OverU_q(B_∞), andU_q(C_∞), andU_q(D_∞) ⋮ Strip Bundles and the Highest Weight Crystals Over Quantum Infinite Rank Affine Algebras ⋮ Description of crystals for generalized Kac-Moody algebras using rigged configurations ⋮ Rigged configurations and the \(\ast \)-involution for generalized Kac-Moody algebras ⋮ Zigzag strip bundles and highest weight crystals ⋮ Generalized Young walls for classical Lie algebras ⋮ Monomial Realization of the Crystals OverU_q(A_∞) and the Quantum Monster Algebra ⋮ Nakajima monomials, Young walls and Kashiwara embedding for \(U_q(A_n^{(1)})\) ⋮ Zigzag Strip Bundles and the CrystalB(∞) for Quantum Affine Algebras

Cites Work

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• Modified Nakajima monomials and the crystal \(B(\infty )\)
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Quiver varieties and tensor products
• Monstrous moonshine and monstrous Lie superalgebras
• Quantum deformations of generalized Kac-Moody algebras and their modules
• AFFINE CRYSTALS AND VERTEX MODELS
• Crystal bases for quantum generalized kac–moody algebras
• Abstract Crystals for Quantum Generalized Kac-Moody Algebras

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