Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
From boxes to polynomials: a story of generalisation - MaRDI portal

Deprecated: Use of MediaWiki\Skin\SkinTemplate::injectLegacyMenusIntoPersonalTools was deprecated in Please make sure Skin option menus contains `user-menu` (and possibly `notifications`, `user-interface-preferences`, `user-page`) 1.46. [Called from MediaWiki\Skin\SkinTemplate::getPortletsTemplateData in /var/www/html/w/includes/Skin/SkinTemplate.php at line 691] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of MediaWiki\Skin\BaseTemplate::getPersonalTools was deprecated in 1.46 Call $this->getSkin()->getPersonalToolsForMakeListItem instead (T422975). [Called from Skins\Chameleon\Components\NavbarHorizontal\PersonalTools::getHtml in /var/www/html/w/skins/chameleon/src/Components/NavbarHorizontal/PersonalTools.php at line 66] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of QuickTemplate::(get/html/text/haveData) with parameter `personal_urls` was deprecated in MediaWiki Use content_navigation instead. [Called from MediaWiki\Skin\QuickTemplate::get in /var/www/html/w/includes/Skin/QuickTemplate.php at line 131] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

From boxes to polynomials: a story of generalisation

From MaRDI portal
Publication:6392415

arXiv2203.00223MaRDI QIDQ6392415

Author name not available (Why is that?)

Publication date: 28 February 2022

Abstract: Here we will embark on a journey starting with some ostensibly inauspicious boxes. Carefully stacking them in different ways yields amazing identities. From humble beginnings at the integer version: `how many steps does it take to get from row i to row j?' to the first upgrade: the polynomial version, before finally reaching the final upgrade: the elliptic version. Each upgrade gives a more general theorem than before. Secretly, everything is controlled by the symmetric Macdonald polynomials. Setting q=t in the Macdonald polynomial takes the elliptic version of the theorem to the polynomial version. Then, letting t approach 1 reduces the polynomial version to the integer version. All the beautiful theorems and ideas come merely from stacking boxes.





Mathematics Subject Classification ID

No records found.








This page was built for publication: From boxes to polynomials: a story of generalisation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6392415)

Retrieved from "https://mardi.schubotz.org/w/index.php?title=Publication:6392415&oldid=36044180"
Powered by MediaWiki