Cover Image

The Haar State values of monomials and a method to pick orthonormal bases on $O(U_q(3))$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Lu, Ting
Format:	Preprint
Published:	2025
Subjects:	Quantum Algebra Mathematical Physics 20G42, 33D80
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Quantum Matrix Spherical Functions
by: Meereboer, Stein, et al.
Published: (2025)

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

Computing the Haar state of $\mathcal{O}(SL_q(3))$ using value preserving (anti)homomorphisms
by: Lu, Ting
Published: (2023)

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)

The $S_3$-symmetric $q$-Onsager algebra and its Lusztig automorphisms
by: Terwilliger, Paul
Published: (2024)

$q$-deformed Griffiths polynomials of Racah type
by: Crampe, Nicolas, et al.
Published: (2024)

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)

Cayley--Hamilton Theorem for Orthogonal Quantum Matrix Algebras
by: Ogievetsky, Oleg, et al.
Published: (2025)

Classifying Module Categories for Generalized Temperley-Lieb-Jones *-2-Categories
by: Ferrer, Giovanni, et al.
Published: (2019)

Quantum subgroups of $SL_q(2)$ at roots of unity of arbitrary order
by: Garcia, Gaston Andres, et al.
Published: (2026)

Binomial ideals in quantum tori and quantum affine spaces
by: Goodearl, K. R.
Published: (2023)

The hypergraph isomorphism game, Hopf algebras and Galois extensions
by: Baziotis, Georgios, et al.
Published: (2025)

The Askey--Wilson algebras, the Lie algebra $\mathfrak{so}_{3}$, and their fermionic realizations
by: Huang, Hau-Wen
Published: (2025)

Anick resolution for the free unitary quantum group
by: Mang, Alexander
Published: (2024)

Combinatorial quantization of 4d 2-Chern-Simons theory II: Quantum invariants of higher ribbons in $D^4$
by: Chen, Hank
Published: (2025)

Bow varieties: Stable envelopes and their 3d mirror symmetry
by: Botta, Tommaso Maria, et al.
Published: (2023)

On the category $\mathcal{O}$ of a hybrid quantum group
by: Situ, Quan
Published: (2022)

Quantum Berezinian for the Twisted Super Yangian
by: Lin, Hongda, et al.
Published: (2025)

Center of the category $\mathcal{O}$ for a hybrid quantum group
by: Situ, Quan
Published: (2022)

Category $\mathcal{O}$ for hybrid quantum groups and non-commutative Springer resolutions
by: Situ, Quan
Published: (2023)

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

A $q$-linear analogue of the plane wave expansion
by: Abreu, Luís Daniel, et al.
Published: (2012)

Change of basis for the tridiagonal pairs of type II
by: Crampe, Nicolas, et al.
Published: (2025)

Classification of integral modular data up to rank 13
by: Alekseyev, Max A., et al.
Published: (2023)

Topological analysis in $\mathcal{R}(p,q)-$anisotropic sector and nuclear space on $\mathcal{R}(p,q)-$quantum deformed algebra
by: Lankpetre, Kawèyim, et al.
Published: (2026)

Reciprocal relations for orthogonal quantum matrices
by: Pyatov, Pavel, et al.
Published: (2025)

Classical Limit of genus two DAHA
by: Arthamonov, S.
Published: (2023)

On bicrossed modules of Hopf algebras
by: Han, Xiao
Published: (2023)

Quantized function algebras at $q=0$: type $A_{n}$ case
by: Giri, Manabendra, et al.
Published: (2022)

New products and $\mathbb{Z}_2$-extensions of compact matrix quantum groups
by: Gromada, Daniel, et al.
Published: (2019)

Irreducible representations of the crystallization of the quantized function algebras $C(SU_{q}(n+1))$
by: Giri, Manabendra, et al.
Published: (2024)

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

Isomorphisms of quantum spheres
by: D'Andrea, Francesco
Published: (2024)

Laplacians on $ q $-deformations of compact semisimple Lie groups
by: Lee, Heon
Published: (2024)

Evaluation of the second virial coefficient for the Mie potential using the method of brackets
by: Gonzalez, Ivan, et al.
Published: (2023)

On certain invariants of compact quantum groups
by: Krajczok, Jacek, et al.
Published: (2023)

Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory
by: Martello, Davide Dal, et al.
Published: (2023)

Generating linear categories of partitions
by: Gromada, Daniel, et al.
Published: (2019)

Monadic reconstruction of unitary Drinfeld centers and Factorization Homology
by: Hataishi, Lucas
Published: (2025)

Geometrizations of quantum groups and dual semicanonical bases
by: Bi, Yingjin
Published: (2024)