Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Rank 2

DOI10.1080/00927870500542978zbMath1141.17012arXivmath/0403192OpenAlexW2113518583MaRDI QIDQ5481640

Ayumu Hoshino

Publication date: 10 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0403192

zbMATH Keywords

highest weightcrystal basequantum algebrapolyhedral realization

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (1)

Polyhedral realizations of crystal bases for quantum algebras of classical affine types

Cites Work

• Unnamed Item
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Global crystal bases of quantum groups
• Polyhedral realizations of crystal bases for integrable highest weight modules
• The crystal base and Littelmann's refined Demazure character formula
• Crystal bases of modified quantized enveloping algebra
• Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
• Crystalizing the q-analogue of universal enveloping algebras
• Canonical bases in tensor products.
• Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A
• Introduction to quantum groups

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