Cover Image

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

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Han, Shaolong, Jin, Yuanfeng, Kang, Seok-Jin, Laurie, Duncan
Format:	Preprint
Published:	2024
Subjects:	Representation Theory Combinatorics Quantum Algebra
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A new Young wall realization of $B(λ)$ and $B(\infty)$
by: Fan, Zhaobing, et al.
Published: (2024)

Young wall realizations of level 1 irreducible highest weight and Fock space crystals of quantum affine algebras in type E
by: Laurie, Duncan
Published: (2023)

Braided coproduct, antipode and adjoint action for $U_q(sl_2)$
by: Pandžić, Pavle, et al.
Published: (2024)

On the computation of the canonical basis for irreducible highest weight $U_q (\mathfrak{gl}_{\infty})$-module
by: Jacon, Nicolas, et al.
Published: (2026)

Little $q$-Jacobi polynomials and symmetry breaking operators for $U_q(sl_2)$
by: Labriet, Quentin, et al.
Published: (2025)

Infinite-dimensional representations of $U_q(\mathfrak{sl}_2)$ and the shadow world: quantum $6j$-symbols for Verma modules
by: Solovyev, Dmitry
Published: (2024)

Branching rules for level-zero extremal weight modules from $U_q(\widehat{\mathfrak{sl}}_{n+1})$ to $U_q(\widehat{\mathfrak{sl}}_n)$
by: Nakaoka, Shutaro
Published: (2025)

Cubic Dirac operator for $U_q(\mathfrak{sl}_2)$
by: Krutov, Andrey, et al.
Published: (2022)

$U_q^+(B_2)$ and its representations
by: Bera, Sanu, et al.
Published: (2025)

Quantum Berezinian for quantum affine superalgebra $U_q(\widehat{gl}_{M|N})$
by: Jing, Naihuan, et al.
Published: (2024)

Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$
by: Galakhov, Dmitry, et al.
Published: (2026)

Quantized Weyl algebras, the double centralizer property, and a new First Fundamental Theorem for $U_q(\mathfrak{gl}_n)$
by: Letzter, Gail, et al.
Published: (2022)

Polyhedral realizations for crystal bases and Young walls of classical affine types
by: Kanakubo, Yuki
Published: (2024)

A compact presentation for the alternating central extension of the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$
by: Terwilliger, Paul
Published: (2020)

Lusztig $q$-weight multiplicities and Kirillov-Reshetikhin crystals
by: Choi, Hyeonjae, et al.
Published: (2024)

A categorification of representations of $U_q(\mathfrak{gl}_{1|1})$
by: Oblomkov, Alexei, et al.
Published: (2025)

Using Catalan words and a $q$-shuffle algebra to describe the Beck PBW basis for the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$
by: Terwilliger, Paul
Published: (2021)

Whittaker modules for $U_q(\mathfrak{sl}_3)$
by: Guo, Xiangqian, et al.
Published: (2025)

Young tableau descriptions for the polyhedral realizations of crystal bases in type $A_n$
by: Han, Shaolong
Published: (2026)

Using a $q$-shuffle algebra to describe the basic module $V(Λ_0)$ for the quantized enveloping algebra $U_q(\widehat{\mathfrak{sl}}_2)$
by: Terwilliger, Paul
Published: (2021)

Doubly alternating words in the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$
by: Ruan, Chenwei
Published: (2024)

Auslander-Reiten combinatorics and $q$-characters of representations of affine quantum groups
by: Casbi, Élie, et al.
Published: (2024)

Path operators and $(q,t)$-tau functions
by: Dali, Houcine Ben, et al.
Published: (2025)

Tensor powers of vector representation of $U_q(\mathfrak{sl}_2)$ at even roots of unity
by: Lachowska, Anna, et al.
Published: (2024)

Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$
by: Li, Qiao, et al.
Published: (2026)

Affine Laumon space and contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$
by: Shen, Che
Published: (2024)

Crystal bases and canonical bases for quantum Borcherds-Bozec algebras
by: Fan, Zhaobing, et al.
Published: (2022)

Triangular solutions to the reflection equation for $U_q(\widehat{sl_n})$
by: Kolyaskin, Dmitry, et al.
Published: (2024)

Rogers-Ramanujan type identities at $Λ_0$ from perfect crystals of exceptional quantum affine algebras
by: Han, Shaolong
Published: (2025)

Gröbner crystal structures
by: Price, Abigail, et al.
Published: (2025)

An imperceptible connection between the Clebsch--Gordan coefficients of $U_q(\mathfrak{sl}_2)$ and the Terwilliger algebras of Grassmann graphs
by: Huang, Hau-Wen
Published: (2023)

Combinatorial description of Lusztig $q$-weight multiplicity
by: Lee, Seung Jin
Published: (2024)

Representations and Classification of the compact quantum groups $U_q(2)$ for complex deformation parameters
by: Guin, Satyajit, et al.
Published: (2021)

Equivariant spectral triple for the quantum group $U_q(2)$ for complex deformation parameters
by: Guin, Satyajit, et al.
Published: (2021)

On the R-matrix realization of the quantum loop algebra. The case of $U_q(D^{(2)}_n)$
by: Liashyk, A., et al.
Published: (2024)

Freidel-Maillet type equations on fused K-matrices over the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$
by: Ruan, Chenwei
Published: (2025)

Combinatorial descriptions of the crystal structure on certain PBW bases
by: Salisbury, Ben, et al.
Published: (2016)

A conjecture on monomial realizations and polyhedral realizations for crystal bases
by: Kanakubo, Yuki
Published: (2025)

A Fibonacci variant of the Rogers-Ramanujan identities via crystal energy
by: Tsuchioka, Shunsuke
Published: (2022)

Standard Lyndon loop words: weighted orders
by: Khomych, Severyn, et al.
Published: (2024)