The $S_3$-symmetric $q$-Onsager algebra and its Lusztig automorphisms
Fuente:
arXiv
Saved in:
| Main Author: | Terwilliger, Paul |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
The $S_3$-symmetric tridiagonal algebra
by: Terwilliger, Paul
Published: (2024)
by: Terwilliger, Paul
Published: (2024)
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)
by: Huang, Hau-Wen
Published: (2023)
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)
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)
by: Terwilliger, Paul
Published: (2021)
The Haar State values of monomials and a method to pick orthonormal bases on $O(U_q(3))$
by: Lu, Ting
Published: (2025)
by: Lu, Ting
Published: (2025)
An Algebra of Elliptic Commuting Variables and an Elliptic Extension of the Multinomial Theorem
by: Schlosser, Michael J.
Published: (2023)
by: Schlosser, Michael J.
Published: (2023)
The excedance quotient of the Bruhat order, Quasisymmetric Varieties and Temperley-Lieb algebras
by: Bergeron, Nantel, et al.
Published: (2023)
by: Bergeron, Nantel, et al.
Published: (2023)
A $Q$-polynomial structure for the Attenuated Space poset $\mathcal A_q(N,M)$
by: Terwilliger, Paul
Published: (2023)
by: Terwilliger, Paul
Published: (2023)
2-Homogeneous bipartite distance-regular graphs and the quantum group $U^\prime_q(\mathfrak{so}_6)$
by: Terwilliger, Paul
Published: (2025)
by: Terwilliger, Paul
Published: (2025)
A compact presentation for the alternating central extension of the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$
by: Terwilliger, Paul
Published: (2020)
by: Terwilliger, Paul
Published: (2020)
Spin models and distance-regular graphs of $q$-Racah type
by: Nomura, Kazumasa, et al.
Published: (2023)
by: Nomura, Kazumasa, et al.
Published: (2023)
Quantum Matrix Spherical Functions
by: Meereboer, Stein, et al.
Published: (2025)
by: Meereboer, Stein, et al.
Published: (2025)
Chevalley bases for extended affine Lie algebras
by: Azam, Saeid
Published: (2025)
by: Azam, Saeid
Published: (2025)
Meta algebras and biorthogonal rational functions: the $q$-Hahn case
by: Bernard, Pierre-Antoine, et al.
Published: (2024)
by: Bernard, Pierre-Antoine, et al.
Published: (2024)
Projective geometries, $Q$-polynomial structures, and quantum groups
by: Terwilliger, Paul
Published: (2024)
by: Terwilliger, Paul
Published: (2024)
The nucleus of a $Q$-polynomial distance-regular graph
by: Terwilliger, Paul
Published: (2024)
by: Terwilliger, Paul
Published: (2024)
Tridiagonal pairs, alternating elements, and distance-regular graphs
by: Terwilliger, Paul
Published: (2022)
by: Terwilliger, Paul
Published: (2022)
$C(SO_q(2n+1)/SO_q(2n-1))$ as iterated torsioned quantum double suspensions of $C(\mathbb{T})$
by: Saurabh, Bipul
Published: (2026)
by: Saurabh, Bipul
Published: (2026)
The Askey--Wilson algebras, the Lie algebra $\mathfrak{so}_{3}$, and their fermionic realizations
by: Huang, Hau-Wen
Published: (2025)
by: Huang, Hau-Wen
Published: (2025)
An elementary approach to non-symmetric shift operators and their q-analogs
by: van Horssen, Max, et al.
Published: (2026)
by: van Horssen, Max, et al.
Published: (2026)
Spin Leonard pairs and the zero diagonal space
by: Nomura, Kazumasa, et al.
Published: (2025)
by: Nomura, Kazumasa, et al.
Published: (2025)
Circular bidiagonal pairs
by: Terwilliger, Paul, et al.
Published: (2022)
by: Terwilliger, Paul, et al.
Published: (2022)
Stokes Phenomenon and Yangians
by: Tang, Qian, et al.
Published: (2025)
by: Tang, Qian, et al.
Published: (2025)
A general $q$-series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities
by: Xu, Jianan, et al.
Published: (2024)
by: Xu, Jianan, et al.
Published: (2024)
The $\mathbb Z_3$-Symmetric Down-Up algebra
by: Terwilliger, Paul
Published: (2023)
by: Terwilliger, Paul
Published: (2023)
A family of orthogonal functions on the unit circle and a new multilateral matrix inverse
by: Schlosser, Michael J.
Published: (2024)
by: Schlosser, Michael J.
Published: (2024)
Using the quantum torus to investigate the $q$-Onsager algebra
by: Goff, Owen
Published: (2025)
by: Goff, Owen
Published: (2025)
Skeins, $q$-series, and modularity
by: Park, Sunghyuk
Published: (2026)
by: Park, Sunghyuk
Published: (2026)
On a Transformation of Triple $q$-Series and Rogers-Hecke Type Series
by: Liu, Zhi-Guo
Published: (2024)
by: Liu, Zhi-Guo
Published: (2024)
$q$-deformed Griffiths polynomials of Racah type
by: Crampe, Nicolas, et al.
Published: (2024)
by: Crampe, Nicolas, et al.
Published: (2024)
The stable limit DAHA: the structure of the standard representation
by: Ion, Bogdan, et al.
Published: (2025)
by: Ion, Bogdan, et al.
Published: (2025)
The construction of $q$-analogues via $_3ϕ_2$-series and $q$-difference equations
by: Campbell, John M.
Published: (2026)
by: Campbell, John M.
Published: (2026)
Kazhdan-Lusztig bases of parabolic Hecke algebras and applications to Schur-Weyl duality
by: Guilhot, Jeremie, et al.
Published: (2026)
by: Guilhot, Jeremie, et al.
Published: (2026)
Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras
by: Das, Apurba
Published: (2024)
by: Das, Apurba
Published: (2024)
Topological invariance of quantum homogeneous spaces of type $B$ and $D$
by: Bhuva, Akshay, et al.
Published: (2024)
by: Bhuva, Akshay, et al.
Published: (2024)
A divisor generating q-series identity and its applications to probability theory and random graphs
by: Agarwal, Archit, et al.
Published: (2024)
by: Agarwal, Archit, et al.
Published: (2024)
Hall algebras and quantum symmetric pairs of Kac-Moody type
by: Lu, Ming, et al.
Published: (2020)
by: Lu, Ming, et al.
Published: (2020)
$q$-deformed rationals and irrationals
by: Morier-Genoud, Sophie, et al.
Published: (2025)
by: Morier-Genoud, Sophie, et al.
Published: (2025)
L-algebras and their ideals: from simplicity to semidirect products
by: Properzi, Silvia, et al.
Published: (2025)
by: Properzi, Silvia, et al.
Published: (2025)
Tetrahedral $L$-operators, tensor Schur polynomials and $q$-deformed loop elementary symmetric functions
by: Iwao, Shinsuke, et al.
Published: (2026)
by: Iwao, Shinsuke, et al.
Published: (2026)
Similar Items
-
The $S_3$-symmetric tridiagonal algebra
by: Terwilliger, Paul
Published: (2024) -
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) -
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 Haar State values of monomials and a method to pick orthonormal bases on $O(U_q(3))$
by: Lu, Ting
Published: (2025)