Young wall models for the level 1 highest weight and Fock space crystals of $U_q (E_6^{(2)})$ and $U_q (F_4^{(1)})$

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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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 $U_q(G_2^{(1)})$
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Young wall realization of crystal graphs for $U_q(C_n^{(1)})$
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Crystalizing the q-analogue of universal enveloping algebras
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Level 1 perfect crystals and path realizations of basic representations at q = 0
Canonical Bases Arising from Quantized Enveloping Algebras
FOCK SPACE REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS AND GENERALIZED LASCOUX-LECLERC-THIBON ALGORITHM
Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
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CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS
On Demazure crystals for $U_{q}(G_{2}^{(1)})$
Young wall construction of level-1 highest weight crystals over $U_q (D_4^{(3)})$ and $U_q (G_2^{(1)})$

Young wall models for the level 1 highest weight and Fock space crystals of \(U_q (E_6^{(2)})\) and \(U_q (F_4^{(1)})\)