Adapted sequence for polyhedral realization of crystal bases

DOI10.1080/00927872.2020.1770274zbMath1484.17023arXiv1904.10919OpenAlexW3036694994MaRDI QIDQ5119195

Yuki Kanakubo, Toshiki Nakashima

Publication date: 3 September 2020

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

Full work available at URL: https://arxiv.org/abs/1904.10919

zbMATH Keywords

crystal basespolyhedral realizationscolumn tableaux

Mathematics Subject Classification ID

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

Related Items (2)

Polyhedral realizations for \(B(\infty)\) and extended Young diagrams, Young walls of type \(\mathrm{A}^{(1)}_{n-1}\), \(\mathrm{C}^{(1)}_{n-1}\), \(\mathrm{A}^{(2)}_{2n-2}\), \(\mathrm{D}^{(2)}_n\) ⋮ Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type \(\mathrm{A}^{(1)}_{n-1}, \mathrm{C}^{(1)}_{n-1}, \mathrm{A}^{(2)}_{2n-2}, \mathrm{D}^{(2)}_n\)

Cites Work

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• Quantum Grothendieck rings and derived Hall algebras
• Crystalizing the q-analogue of universal enveloping algebras
• Paths, tableaux andq-characters of quantum affine algebras: theC_ncase
• Polyhedral realizations of crystal bases for quantum algebras of finite types
• Canonical Bases Arising from Quantized Enveloping Algebras
• Polyhedral realizations of crystal bases for quantum algebras of classical affine types

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