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Main Authors:	Huang, Hau-Wen, Lee, Chin-Yen
Format:	Preprint
Published:	2025
Subjects:	Combinatorics Representation Theory 05E10, 05E30, 16S35, 33D45
Online Access:	https://arxiv.org/abs/2510.23173
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A way to treat dual Hahn polynomials as Racah polynomials via the theory of Leonard pairs
by: Huang, Hau-Wen
Published: (2025)

On Terwilliger $\mathbb{F}$-algebras of direct products of group divisible association schemes
by: Jiang, Yu
Published: (2025)

The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes
by: Martin, William J., et al.
Published: (2025)

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)

On Terwilliger $\mathbb{F}$-algebras of factorial association schemes
by: He, Jiu-Yang, et al.
Published: (2025)

Verma modules and finite-dimensional irreducible modules of the universal Askey--Wilson algebra at roots of unity
by: Huang, Hau-Wen
Published: (2024)

On Terwilliger $\mathbb{F}$-algebras of factorial association schemes
by: Jiang, Yu
Published: (2024)

Every $Q$-polynomial distance-regular graph is sharp over $\mathbb{R}$
by: Fernández, Blas, et al.
Published: (2025)

Almost Commutative Terwilliger Algebras I: The Group Association Scheme
by: Bastian, Nicholas L., et al.
Published: (2025)

Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents
by: Bastian, Nicholas L.
Published: (2024)

Towards plethystic $\mathfrak{sl}_2$ crystals
by: Gutiérrez, Álvaro
Published: (2024)

Almost Commutative Terwilliger Algebras II: Strong Gelfand Pairs
by: Bastian, Nicholas L., et al.
Published: (2025)

Counting $\mathbb F_q$-points of orbital varieties in ad-nilpotent ideals of type $A_n$
by: Bardestani, Mohammad, et al.
Published: (2025)

Computing the $q$-Multiplicity of the Positive Roots of $\mathfrak{sl}_{r+1}(\mathbb{C})$ and Products of Fibonacci Numbers
by: Harry, Kimberly J.
Published: (2023)

Classification silted algebras for a quiver of Dynkin type $\mathbb{A}_{n}$ via geometric models
by: Liu, Yu-Zhe, et al.
Published: (2022)

Pieri rules for skew dual immaculate functions
by: Niese, Elizabeth, et al.
Published: (2022)

Minimal elements in the skew extended 0-Hecke poset
by: Lafrenière, Nadia, et al.
Published: (2025)

Stranding $\mathfrak{sl}_n$ webs
by: Russell, Heather M., et al.
Published: (2025)

Study of $p$-Young tableaux, Robinson-Schensted correspondence and the lacunary Cauchy identity of group algebras $KG_{r}$ and $KSG_{r}$
by: Parvathi, M., et al.
Published: (2025)

Random Fibonacci Words via Clone Schur Functions
by: Petrov, Leonid, et al.
Published: (2024)

A skew Specht perspective of RoCK blocks and cuspidal systems for KLR algebras in affine type A
by: Muth, Robert, et al.
Published: (2024)

The sign character of the triagonal fermionic coinvariant ring
by: Lentfer, John
Published: (2025)

Diagrammatic representations of Generalized Temperley-Lieb algebras of affine type $\widetilde{B}$ and $\widetilde{D}$
by: Biagioli, Riccardo, et al.
Published: (2022)

Flows on graphs with cycles, locally gentle algebras, and the Mutoperhedron
by: Abram, Antoine, et al.
Published: (2026)

A descent basis for the Garsia-Procesi module
by: Carlsson, Erik, et al.
Published: (2024)

The nonsymmetric compositional Delta theorem
by: Qiu, Dun, et al.
Published: (2026)

The conflated expression graph for an arbitrary permutation
by: Zhu, Jieru
Published: (2026)

Enumerating tame friezes over $\mathbb{Z}/n\mathbb{Z}$
by: Benzaira, Sammy, et al.
Published: (2024)

A recursion formula for Branching from $\mathfrak{sl}_n$ to $\mathfrak{sl}_2$ subalgebras
by: Korkeathikhun, Korkeat, et al.
Published: (2025)

Clique complexes of strongly regular graphs, their eigenvalues, and cohomology groups
by: Cioabă, Sebastian M., et al.
Published: (2025)

Structure of Terwilliger algebras of quasi-thin association schemes
by: Chen, Zhenxian, et al.
Published: (2024)

Modular isomorphisms of $\mathrm{SL}_2(\mathbb{F})$-plethysms for Weyl modules labelled by hook partitions
by: Gutiérrez, Álvaro, et al.
Published: (2025)

Representation theory of finite groups through (basic) algebraic geometry
by: Arrondo, Enrique
Published: (2020)

Congruence for lattice path models with filter restrictions and long steps
by: Solovyev, Dmitry
Published: (2021)

q-Whittaker functions, finite fields, and Jordan forms
by: Karp, Steven N., et al.
Published: (2022)

Generalized Splines over $\mathbb{Z}$-Modules on Arbitrary Graphs
by: Dilaver, Gökçen, et al.
Published: (2025)

Bender-Knuth involutions for types B and C
by: Gutiérrez, Álvaro
Published: (2023)

A generalization of the Askey-Wilson relations using a projective geometry
by: Seong, Ian
Published: (2024)

The plethystic inverse of the odd Lie representations
by: Sundaram, Sheila
Published: (2020)

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* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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