On representations of permutation groups and orbit categories

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Li, Liping
Formato:	Preprint
Publicado:	2025
Materias:	Representation Theory
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Representations of categories of finite relational structures and associated endomorphism monoids
por: Li, Liping
Publicado: (2026)

The block decomposition of the principal representation category of reductive algebraic groups with Frobenius maps
por: Chen, Xiaoyu, et al.
Publicado: (2025)

Representations of generalized linear Reedy categories and abelian model structures
por: Di, Zhenxing, et al.
Publicado: (2026)

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

Constructions of Waldhausen categories via Grothendieck opfibrations
por: Di, Zhenxing, et al.
Publicado: (2024)

The representation theory of Brauer categories I: triangular categories
por: Sam, Steven V, et al.
Publicado: (2020)

Pseudoskew category algebras and modules over representations of small categories
por: Wu, Mawei
Publicado: (2024)

Dg enhanced orbit categories and applications
por: Fan, Li, et al.
Publicado: (2024)

A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories
por: Di, Zhenxing, et al.
Publicado: (2025)

The Grothendieck group of an extriangulated category
por: Wang, Li
Publicado: (2025)

Sheaves of modules on atomic sites and discrete representations of topological groups
por: Di, Zhenxing, et al.
Publicado: (2021)

Quantum permutation groups
por: Banica, Teo
Publicado: (2020)

Model structures on the category of complexes of quiver representations
por: Bahiraei, Payam
Publicado: (2016)

Representations over diagrams of abelian categories II: Abelian model structures
por: Di, Zhenxing, et al.
Publicado: (2023)

The decomposition of permutation module for infinite Chevalley groups, II
por: Dong, Junbin
Publicado: (2021)

Representations of $\mathbb{N}^{\infty}$-type combinatorial categories
por: Di, Zhenxing, et al.
Publicado: (2024)

On interpolation categories for the hyperoctahedral group
por: Heidersdorf, Thorsten, et al.
Publicado: (2024)

Twisted Whittaker category on affine flags and the category of representations of the mixed quantum group
por: Yang, Ruotao
Publicado: (2021)

Shift orbits for elementary representations of Kronecker quivers
por: Bissinger, Daniel
Publicado: (2024)

A characterization of modules over dg-representations of small categories
por: Wu, Mawei
Publicado: (2024)

Modular representation of Reductive Lie algebras and related combinatorial category
por: Zhang, An
Publicado: (2024)

Note on a certain category of mod $p$ representations
por: Sorgdrager, Reinier
Publicado: (2025)

Interpolation of the oscillator representation and Azumaya algebras in tensor categories
por: Snowden, Andrew
Publicado: (2024)

Flat model structures and Gorenstein objects in functor categories
por: Di, Zhenxing, et al.
Publicado: (2022)

Isotypic blocks of finite groups algebras that are not $p$-permutation equivalent
por: McHugh, John Revere
Publicado: (2025)

A tensor-triangular property for categories of representations of restricted Lie algebras
por: Bloom, Justin
Publicado: (2024)

Grothendieck groups of repetitive cluster categories
por: Chang, Huimin, et al.
Publicado: (2025)

Superspecial representations of Weyl groups
por: Lusztig, G.
Publicado: (2025)

Antispecial representations of Weyl groups
por: Lusztig, G.
Publicado: (2026)

On the group attached to a special Weyl group representation
por: Lusztig, G.
Publicado: (2025)

The monoidal structure of the category of partial representations of finite groups
por: Neto, Arthur R. Alves, et al.
Publicado: (2026)

On eigenvalues of permutations in irreducible representations of symmetric and alternating groups
por: Staroletov, Alexey
Publicado: (2025)

(Co)stratification of stable categories for infinite groups
por: Kendall, Gregory
Publicado: (2024)

Positivity for certain Weyl group representations
por: Lusztig, G.
Publicado: (2025)

Almost special representations of Weyl groups
por: Lusztig, G.
Publicado: (2024)

Rack Representations and Connections with groups representations
por: Rodríguez-Nieto, José Gregorio, et al.
Publicado: (2024)

Counting irreducible representations of general linear groups and unitary groups
por: Wang, Qiutong
Publicado: (2025)

On extensions of the standard representation of the braid group to the singular braid group
por: Nasser, Mohamad N.
Publicado: (2025)

The permutation dimension of the Klein 4-group
por: Harman, Henry
Publicado: (2025)

The Grothendieck groups of n-cluster categories of type A_{\infty}
por: Chang, Huimin
Publicado: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// 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; }

* * @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'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"es"
VUFIND_SESSION	"13d103e73c3f9db994d2fb0343e30fe7"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790836418.6665 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "13d103e73c3f9db994d2fb0343e30fe7" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; language=es; VUFIND_SESSION=13d103e73c3f9db994d2fb0343e30fe7"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"22731"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2510_15348/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2510_15348/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790836418.6622
REQUEST_TIME	1790836418

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler