Cover Image

On the computation of the canonical basis for irreducible highest weight $U_q (\mathfrak{gl}_{\infty})$-module

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Jacon, Nicolas, Lacabanne, Abel
Format:	Preprint
Published:	2026
Subjects:	Representation Theory Quantum Algebra 05E10, 17B37, 20C08
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Quantum $\mathfrak{gl}$-weight system and its average values
by: Zaitsev, Mikhail
Published: (2025)

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)

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)

Framization of Schur--Weyl duality and Yokonuma--Hecke type algebras
by: Lacabanne, Abel, et al.
Published: (2023)

A basis and Schur-Weyl duality for the loop Hecke algebra
by: Janssens, Geoffrey, et al.
Published: (2025)

Affine highest weight structures on module categories over quiver Hecke algebras
by: Murata, Haruto
Published: (2024)

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

The refined solution to the Capelli eigenvalue problem for $\mathfrak{gl}(m|n)\oplus\mathfrak{gl}(m|n)$ and $\mathfrak{gl}(m|2n)$
by: Cao, Mengyuan, et al.
Published: (2023)

Lusztig sheaves and integrable highest weight modules in symmetrizable cases
by: Lan, Yixin, et al.
Published: (2024)

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

Lusztig sheaves and tensor products of integrable highest weight modules
by: Fang, Jiepeng, et al.
Published: (2023)

On Hecke and asymptotic categories for a family of complex reflection groups
by: Lacabanne, Abel, et al.
Published: (2024)

Lusztig sheaves and integrable highest weight modules
by: Fang, Jiepeng, et al.
Published: (2023)

Two-row Delta Springer varieties
by: Lacabanne, Abel, et al.
Published: (2024)

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

Blocks of Ariki-Koike algebras and level-rank duality
by: Declercq, David, et al.
Published: (2024)

Weight modules for quantum symmetric pair subalgebras
by: Stroppel, Catharina, et al.
Published: (2026)

The Regular Representation of the twisted queer $q$-Schur Superalgebra
by: Li, Zhenhua
Published: (2025)

A new description of the bicrystal $B(\infty)$ and the extended crystal
by: Heo, Taehyeok
Published: (2025)

Irreducible characters and bitrace for the $q$-rook monoid
by: Jing, Naihuan, et al.
Published: (2023)

Canonical bases of tensor products of integrable highest weight modules arising from framed constructions
by: Fang, Jiepeng, et al.
Published: (2025)

Generalised hook lengths and Schur elements for Hecke algebras
by: Chlouveraki, Maria, et al.
Published: (2024)

Crystal skeletons: Combinatorics and axioms
by: Brauner, Sarah, et al.
Published: (2025)

On the Quantum Metaplectic Howe Duality
by: Brito, Matheus, et al.
Published: (2024)

Admissible level $\mathfrak{osp}(1|2)$ minimal models and their relaxed highest weight modules
by: Wood, Simon
Published: (2018)

A Coboundary Temperely-Lieb Category for $\mathfrak{sl}_2$-Crystals
by: Alqady, Moaaz, et al.
Published: (2025)

Diagrammatics for the smallest quantum coideal and Jones--Wenzl projectors
by: Stroppel, Catharina, et al.
Published: (2024)

Schurification of polynomial quantum wreath products
by: Lai, Chun-Ju, et al.
Published: (2025)

Verma Howe duality and LKB representations
by: Lacabanne, Abel, et al.
Published: (2022)

Kleshchev multipartitions, affine Mirković-Vilonen polytopes, and representations of KLR algebras in type ${\tt A}^{(1)}_1$
by: Allen, Samantha, et al.
Published: (2026)

Braid symmetries on bosonic extensions
by: Kashiwara, Masaki, et al.
Published: (2024)

The $q$-Schur algebras in type $D$, I: fundamental multiplication formulas
by: Du, Jie, et al.
Published: (2024)

The quantum $ε$lectrical Hopf algebra and categorification of Fock space
by: Nehme, Jonas, et al.
Published: (2025)

On a symplectic quantum Howe duality
by: Bodish, Elijah, et al.
Published: (2023)

The recording tableaux in the quantum Littlewood-Richardson map, the orthogonal transpose symmetry map, and the computation of $\mathfrak{k}$-highest weight tableaux
by: Azenhas, Olga
Published: (2026)

Simple modules of small quantum groups at dihedral groups
by: García, Gastón Andrés, et al.
Published: (2020)

The product of simple modules over KLR algebras and quiver Grassmannians
by: Bi, Yingjin
Published: (2021)

Analogue of Feigin's map on $\imath$quantum group of split type
by: Lu, Ming, et al.
Published: (2025)

Quiver Hecke--Clifford superalgebras and R-matrices
by: Endo, Koreto
Published: (2026)

$RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$
by: Hu, Naihong, et al.
Published: (2024)