Robinson-Schensted-Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field

Autor:	Gurevich, Maxim, Lapid, Erez
Rok vydání:	2019
Předmět:	Mathematics - Representation Theory Mathematics - Combinatorics
Zdroj:	Represent. Theory 25 (2021), 644-678
Druh dokumentu:	Working Paper
DOI:	10.1090/ert/578
Popis:	We construct new "standard modules" for the representations of general linear groups over a local non-archimedean field. The construction uses a modified Robinson-Schensted-Knuth correspondence for Zelevinsky's multisegments. Typically, the new class categorifies the basis of Doubilet, Rota, and Stein for matrix polynomial rings, indexed by bitableaux. Hence, our main result provides a link between the dual canonical basis (coming from quantum groups) and the DRS basis. Comment: With an appendix by Mark Shimozono
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.09180 Zobrazit plný text záznamu View this record from Arxiv