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Bibliographic Details
Main Author:	Hikita, Tatsuyuki
Format:	Preprint
Published:	2025
Subjects:	Combinatorics Representation Theory
Online Access:	https://arxiv.org/abs/2503.23597
Tags:	Add Tag No Tags, Be the first to tag this record!

On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture
by: Griffin, Sean T., et al.
Published: (2025)

A geometric realization of the chromatic symmetric function of a unit interval graph
by: Kato, Syu
Published: (2024)

Non-toric examples of elliptic canonical bases I
by: Hikita, Tatsuyuki
Published: (2024)

A unipotent realization of the chromatic quasisymmetric function
by: Gagnon, Lucas
Published: (2022)

Chromatic symmetric functions via the group algebra of $S_n$
by: Pawlowski, Brendan
Published: (2018)

Generating functions of $W_{1+\infty}$ action on symmetric functions
by: Fernelius, Caleb, et al.
Published: (2025)

Strong Gelfand Pairs of the Symplectic Group $\boldsymbol{\rm Sp}_4(q)$ where $q$ is even
by: Humphries, Stephen P., et al.
Published: (2025)

Tiling the symmetric group by transpositions
by: Fang, Teng, et al.
Published: (2025)

The Frobenius transform of a symmetric function
by: Lee, Mitchell
Published: (2023)

Ribbon blocks for centraliser algebras of symmetric groups
by: Fayers, Matthew, et al.
Published: (2025)

Key and Lascoux polynomials for symmetric orbit closures
by: Marberg, Eric, et al.
Published: (2023)

Kronecker coefficients for (dual) symmetric inverse semigroups
by: Mazorchuk, Volodymyr, et al.
Published: (2023)

On the minimal power of $q$ in a Kazhdan-Lusztig polynomial
by: Gaetz, Christian, et al.
Published: (2023)

The Divisibility of $\mathrm{GL}(n, q)$ Character Values
by: Shah, Varun, et al.
Published: (2024)

Lusztig $q$-weight multiplicities and Kirillov-Reshetikhin crystals
by: Choi, Hyeonjae, et al.
Published: (2024)

Pólya enumeration, wreath product symmetric functions, and moduli spaces of curves
by: Kannan, Siddarth, et al.
Published: (2026)

Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras
by: Mathiä, Dario, et al.
Published: (2021)

The anti-spherical Hecke categories for Hermitian symmetric pairs
by: Bowman, Chris, et al.
Published: (2022)

Minimal numbers of linear constituents in Sylow restrictions for symmetric groups
by: Gustavsson, Bim, et al.
Published: (2025)

Stable-limit partially symmetric Macdonald functions and parabolic flag Hilbert schemes
by: Orr, Daniel, et al.
Published: (2024)

Path operators and $(q,t)$-tau functions
by: Dali, Houcine Ben, et al.
Published: (2025)

Zeros in the character table of the symmetric group
by: Peluse, Sarah, et al.
Published: (2026)

Combinatorial Approaches to Exceptional Sequences for Weighted Projective Lines of Type $(p,q)$
by: Chen, Jianmin, et al.
Published: (2025)

A New Symmetric Function Identity With an Application to symmetric group character values
by: Westrem, Karlee J.
Published: (2024)

Magic squares, the symmetric group and Möbius randomness
by: Gorodetsky, Ofir
Published: (2021)

Divisibility of character values of the symmetric group by prime powers
by: Peluse, Sarah, et al.
Published: (2023)

Proof of a conjecture of Green and Liebeck on codes in symmetric groups
by: Fang, Teng, et al.
Published: (2025)

Congruences for spin characters of the double covers of the symmetric and alternating groups
by: Nath, Rishi, et al.
Published: (2015)

A higher homological approach to the $q$-characters of representations of quantum affine algebras
by: Casbi, Élie
Published: (2026)

Improved covering results for conjugacy classes of symmetric groups via hypercontractivity
by: Keller, Nathan, et al.
Published: (2023)

Representation theory and cycle statistics for random walks on the symmetric group
by: Arcona, Dominic
Published: (2025)

Non symmetric Cauchy kernel, crystals and last passage percolation
by: Azenhas, Olga, et al.
Published: (2022)

Fixed points of non-uniform permutations and representation theory of the symmetric group
by: Fulman, Jason
Published: (2024)

Cluster parking functions
by: Douvropoulos, Theo, et al.
Published: (2024)

Mutation of theta functions
by: Reading, Nathan, et al.
Published: (2026)

Some geometric consequences of the symmetric reduction
by: Deng, Taiwang
Published: (2024)

Theta functions in acyclic affine type
by: Reading, Nathan, et al.
Published: (2026)

Highest weight crystals for Schur Q-functions
by: Marberg, Eric, et al.
Published: (2021)

The weight function for monomial crystals of affine type
by: James, Luke, et al.
Published: (2017)

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

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