Cover Image

Branching rules for level-zero extremal weight modules from $U_q(\widehat{\mathfrak{sl}}_{n+1})$ to $U_q(\widehat{\mathfrak{sl}}_n)$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Nakaoka, Shutaro
Format:	Preprint
Published:	2025
Subjects:	Representation Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

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

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

A homomorphism from the affine Yangian $Y_{\hbar,\varepsilon}(\widehat{\mathfrak{sl}}(n))$ to the affine Yangian $Y_{\hbar,\varepsilon}(\widehat{\mathfrak{sl}}(n+1))$
by: Ueda, Mamoru
Published: (2023)

Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$
by: Kushwaha, Mrigendra Singh, et al.
Published: (2024)

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

An alternative proof of $\widehat{\mathfrak{sl}}_2'$ standard module semi-infinite structure
by: Kenzhaev, Timur
Published: (2023)

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

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

Notes on a homomorphism from the affine Yangian associated with $\hat{\mathfrak{sl}}(n)$ to the affine Yangian associated with $\widehat{\mathfrak{sl}}(n+1)$
by: Ueda, Mamoru
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)

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

Novel energy preserving bijections between affine crystals for $U_q(\widehat{\mathfrak{sl}}_2)$ and integer partitions
by: Miyazawa, Sota, et al.
Published: (2026)

On ${U}(\mathfrak{h})$-free modules over $\mathfrak{sl}(m|n)$
by: Dimitrov, Ivan, et al.
Published: (2025)

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

Free Jordan Algebras and Representations of $\widehat{\mathfrak{sl}}_2(J)$
by: Lau, Michael, et al.
Published: (2025)

A recursion formula for Branching from $\mathfrak{sl}_n$ to $\mathfrak{sl}_2$ subalgebras
by: Korkeathikhun, Korkeat, et al.
Published: (2025)

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

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

Simple $\mathfrak{sl}_2$-modules that are torsion free $U(\mathfrak{h})$-modules of rank $1$
by: Grantcharov, Dimitar, et al.
Published: (2026)

Young wall models for the level 1 highest weight and Fock space crystals of $U_q(E_6^{(2)})$ and $U_q(F_4^{(1)})$
by: Han, Shaolong, et al.
Published: (2024)

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)

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)

The Weyl groupoids of $\mathfrak{sl}(m|n)$ and $\mathfrak{osp}(r|2n)$
by: Bonfert, Lukas, et al.
Published: (2023)

An explicit characterization of socular simple modules of $\mathfrak{sl}(n,\mathbb{C})$
by: Bai, Zhanqiang, et al.
Published: (2023)

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)

A minimal Gröbner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules
by: Fourier, Ghislain, et al.
Published: (2024)

Two Homomorphisms from the affine Yangian associated with $\widehat{\mathfrak{sl}}(n)$ to the affine Yangian associated with $\widehat{\mathfrak{sl}}(n+1)$
by: Ueda, Mamoru
Published: (2024)

Representation theory of mirabolic quantum $\mathfrak{sl}_n$
by: Goyal, Pallav, et al.
Published: (2025)

Stranding $\mathfrak{sl}_n$ webs
by: Russell, Heather M., et al.
Published: (2025)

Exact module categories over $\mathrm{Rep}(u_q(\mathfrak{sl}_2))$
by: Nakamura, Daisuke, et al.
Published: (2025)

Unitary highest weight modules for $\mathfrak{su}(p, q)$ and $\mathfrak{so}^{*}(2n)$ with fixed integral infinitesimal character
by: Pandžić, Pavle, et al.
Published: (2026)

Correlators on the wall and $\mathfrak{sl}_n$ spin chain
by: Dedushenko, Mykola, et al.
Published: (2020)

An index for unitarizable $\mathfrak{sl}(m\vert n)$-supermodules
by: Schmidt, Steffen, et al.
Published: (2025)

Induced modules and central character quotients for Takiff $\mathfrak{sl}_{2}$
by: Zhu, Xiaoyu
Published: (2024)