Young wall construction of level-1 highest weight crystals over \(U_q (D_4^{(3)})\) and \(U_q (G_2^{(1)})\)
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Publication:6565653
DOI10.1016/J.JALGEBRA.2023.08.001MaRDI QIDQ6565653
Yong Su Shin, Seok-Jin Kang, Author name not available (Why is that?), Zhaobing Fan
Publication date: 2 July 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representations of quivers and partially ordered sets (16G20)
Cites Work
- Title not available (Why is that?)
- Crystal bases for quantum affine algebras and Young walls
- Higher level affine crystals and Young walls
- Zero action on perfect crystals for \(U_q(G_2^{(1)})\)
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Perfect crystals of quantum affine Lie algebras
- Perfect crystals of \(U_q(G_2^{(1)})\)
- Polyhedral realizations of crystal bases for integrable highest weight modules
- Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
- Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
- Young wall realization of crystal graphs for \(U_q(C_n^{(1)})\)
- Perfect crystals for \(U_q(D_4^{(3)})\)
- Crystalizing the q-analogue of universal enveloping algebras
- AFFINE CRYSTALS AND VERTEX MODELS
- CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS
- On Demazure crystals for $U_{q}(G_{2}^{(1)})$
- Strip bundle realization of the crystals over Uq(G2(1))
- Strip bundle realization of the crystals over Uq(D4(3))
Related Items (2)
Young wall realizations of level 1 irreducible highest weight and Fock space crystals of quantum affine algebras in type E ⋮ Young wall models for the level 1 highest weight and Fock space crystals of \(U_q (E_6^{(2)})\) and \(U_q (F_4^{(1)})\)
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