Cover Image

PBW theory for Bosonic extensions of quantum groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Oh, Se-jin, Park, Euiyong
Format:	Preprint
Published:	2024
Subjects:	Quantum Algebra 17B37, 81R10, 17B67
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Verlinde rings and cluster algebras arising from quantum affine algebras
by: Lee, Chul-hee, et al.
Published: (2024)

Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras
by: Oh, Se-jin, et al.
Published: (2025)

Semi-infinite Lakshmibai--Seshadri paths and level-zero extremal weight modules over twisted quantum affine algebras
by: Adachi, Shohei, et al.
Published: (2026)

Freezing operators in representation theory of quantum loop algebras
by: Fujita, Ryo, et al.
Published: (2026)

Universal K-matrices for quantum Kac-Moody algebras
by: Appel, Andrea, et al.
Published: (2020)

Quasi-lisse vertex (super)algebras
by: Li, Hao
Published: (2023)

Simplicity of tensor products of Kirillov--Reshetikhin modules: nonexceptional affine and G types
by: Oh, Se-jin, et al.
Published: (2019)

Quantum cluster algebra, braid moves and quantum virtual Grothendieck ring
by: Lee, Kyu-Hwan, et al.
Published: (2024)

$t$-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras
by: Kashiwara, Masaki, et al.
Published: (2023)

Automorphisms of quantum toroidal algebras from an action of the extended double affine braid group
by: Laurie, Duncan
Published: (2023)

$RLL$-realization of two-parameter quantum affine algebra in type $D_n^{(1)}$
by: Zhuang, Rushu, et al.
Published: (2024)

Fundamental fields in the deformed $W$-algebras
by: Assakaf, Hicham
Published: (2026)

Associated Varieties of Ordinary Modules over Quasi-Lisse Vertex Algebras
by: Villarreal, Juan
Published: (2025)

Monoidal Jantzen filtrations
by: Fujita, Ryo, et al.
Published: (2024)

SU(3) higher roots and their lattices
by: Coquereaux, Robert
Published: (2024)

Algorithm for computing canonical bases and foldings of quantum groups
by: Shoji, Toshiaki, et al.
Published: (2025)

Faithful action of braid group on bosonic extensions
by: Kashiwara, Masaki, et al.
Published: (2025)

Strong duality Data of type $A$ and extended $T$-systems
by: Naoi, Katsuyuki
Published: (2023)

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

Tensor products, $q$-characters and $R$-matrices for quantum toroidal algebras
by: Laurie, Duncan
Published: (2025)

Representation theory of the principal equivariant $\mathcal{W}$-algebra and Langlands duality
by: Simon, Damien
Published: (2025)

Inflations among quantum Grothendieck rings of type A
by: Fujita, Ryo
Published: (2024)

Monomial bases and canonical bases for quantum affine algebras
by: Shoji, Toshiaki, et al.
Published: (2026)

Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules
by: Fasquel, Justine, et al.
Published: (2026)

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

Wick theorem and matrix Capelli identity for quantum differential operators on Reflection Equation Algebras
by: Gurevich, Dimitri, et al.
Published: (2024)

Monoidal categorification and quantum affine algebras III
by: Kashiwara, Masaki, et al.
Published: (2025)

On polyhedral formulas for Kirillov-Reshetikhin modules
by: Lee, Chul-hee
Published: (2019)

Unipotent quantum coordinate ring and minuscule prefundamental representations: twisted case
by: Jang, Il-Seung
Published: (2025)

Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
by: Arakawa, Tomoyuki, et al.
Published: (2021)

Relative braid group symmetries on $\imath$quantum groups of Kac-Moody type
by: Zhang, Weinan
Published: (2022)

Generalized Harish-Chandra morphism on Reflection Equation algebras
by: Gurevich, Dimitry, et al.
Published: (2024)

Elementary construction of canonical bases, foldings, and piecewise linear bijections
by: Shoji, Toshiaki, et al.
Published: (2025)

Evaluation-type deformed modules over the quantum affine vertex algebras of type $A$
by: Bagnoli, Lucia, et al.
Published: (2026)

Deformed Cartan matrices and generalized preprojective algebras II: General type
by: Fujita, Ryo, et al.
Published: (2023)

Drinfeld Realization for quantum affine superalgebras of type $B$
by: Bezerra, Luan, et al.
Published: (2024)

Global bases for Bosonic extensions of quantum unipotent coordinate rings
by: Kashiwara, Masaki, et al.
Published: (2024)

On the structure of quantum affine superalgebra $U_{v}(A(0,2)^{(4)})$
by: Li, Fengchang
Published: (2024)

One-Point Restricted Conformal Blocks and the Fusion Tensor Product
by: Liu, Jianqi
Published: (2024)

Quantum groups of Lie colour algebras fulfilling Cartan-Weyl paradigm
by: Zhang, R. B.
Published: (2026)