Cover Image

Using the quantum torus to investigate the $q$-Onsager algebra

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Goff, Owen
Format:	Preprint
Published:	2025
Subjects:	Quantum Algebra Combinatorics 17B37 (Primary) 05E16, 16T20 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

A quantum shuffle approach to quantum affine super algebra of type $C(2)^{(2)}$ and its equitable presentation
by: Zhong, Xin, et al.
Published: (2024)

Nilpotency indices for quantum Schubert cell algebras
by: Johnson, Garrett, et al.
Published: (2024)

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

The lowest discriminant ideal of a Cayley-Hamilton Hopf algebra
by: Mi, Zhongkai, et al.
Published: (2023)

Complete Structural Analysis of $q$-Heisenberg Algebras: Homology, Rigidity, Automorphisms, and Deformations
by: Rashid, Mohammad H. M
Published: (2025)

On the structure and representations of quantum graph algebras at roots of unity
by: Baseilhac, Stéphane, et al.
Published: (2026)

Short star products for quantum symmetric pairs and applications
by: Kolb, Stefan, et al.
Published: (2026)

Universal symplectic/orthogonal functions and general branching rules
by: Jin, Zhihong, et al.
Published: (2022)

Frobenius subalgebra lattices in tensor categories
by: Ghosh, Mainak, et al.
Published: (2025)

Matroid isomorphism games
by: Corey, Daniel, et al.
Published: (2025)

Multiparameter quantum groups at roots of unity
by: García, Gastón Andrés, et al.
Published: (2017)

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

Lie polynomials in a $q$-deformed universal enveloping algebra of a low-dimensional Lie algebra
by: Cantuba, Rafael Reno S., et al.
Published: (2025)

Diameter bounds for finite simple Lie algebras
by: Barbieri, Marco, et al.
Published: (2025)

The holonomy braiding for $\mathcal{U}_ξ(\mathfrak{sl}_2)$ in terms of geometric quantum dilogarithms
by: McPhail-Snyder, Calvin, et al.
Published: (2025)

Generalized Connes-Kreimer Hopf algebras on decorated rooted forests by weighted cocycles
by: Wang, Fei, et al.
Published: (2025)

Growth Problems of Quantum Groups
by: O'Sullivan, Jensen, et al.
Published: (2025)

Tensor-Hochschild complex
by: Pimenov, Slava, et al.
Published: (2025)

Twisting Manin's universal quantum groups and comodule algebras
by: Huang, Hongdi, et al.
Published: (2022)

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

A geometric realization of liftings of Cartan type
by: Bagio, D., et al.
Published: (2025)

Skew odd orthogonal characters and interpolating Schur polynomials
by: Jing, Naihuan, et al.
Published: (2025)

Multi-quasisymmetric functions with semigroup exponents, Hopf algebras and Rota-Baxter algebras
by: Gao, Xing, et al.
Published: (2024)

Lowering operators, orthogonal decomposition of tensor space, and quantized Schur--Weyl duality
by: Doty, Stephen, et al.
Published: (2025)

A new bijective proof of the $q$-Pfaff--Saalschütz identity with applications to quantum groups
by: Gutiérrez, Álvaro, et al.
Published: (2025)

Seaweed algebras with restricted part sizes
by: Archer, Kassie, et al.
Published: (2025)

Quantum superalgebras and the free-fermionic Yang-Baxter equation
by: Brubaker, Ben, et al.
Published: (2025)

Crystals and quantum twist automorphisms
by: Jung, Woo-Seok, et al.
Published: (2025)

A dichotomy between twisted tensor products of bialgebras and Frobenius algebras
by: Ocal, Pablo S., et al.
Published: (2022)

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

Quantum Littlewood correspondences
by: Jing, Naihuan, et al.
Published: (2025)

General Capelli-type identities
by: Jing, Naihuan, et al.
Published: (2023)

Hopf q-braces structures on rank one pointed Hopf algebras
by: Guccione, Jorge A., et al.
Published: (2024)

Presentations for small reflection equation algebras of type A
by: Cooke, Juliet, et al.
Published: (2024)

Pointed Hopf algebras, the Dixmier-Moeglin Equivalence and Noetherian group algebras
by: Bell, Jason P., et al.
Published: (2025)

On the classification of quantum symmetries
by: Gordienko, A. S., et al.
Published: (2025)

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

Quantum van Est Isomorphism
by: Kaygun, Atabey, et al.
Published: (2022)

Infinitesimal $\mathcal{R}$-matrices for some families of Hopf algebras
by: Bottegoni, Lucrezia, et al.
Published: (2024)