Polyhedral realization of the crystal bases for extremal weight modules over quantized hyperbolic Kac-Moody algebras of rank 2

DOI10.1016/j.jalgebra.2023.01.019OpenAlexW4319310959MaRDI QIDQ2693345

Ryuta Hiasa

Publication date: 20 March 2023

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

Full work available at URL: https://arxiv.org/abs/2112.02493

zbMATH Keywords

crystal baseshyperbolic Kac-Moody algebrasextremal weight modulespolyhedral realizations

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Groups and algebras in quantum theory (81Rxx) Lie algebras and Lie superalgebras (17Bxx)

Cites Work

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• Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2
• Connectedness of Lakshmibai-Seshadri path crystals for hyperbolic Kac-Moody algebras of rank 2
• Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A

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