TY - JOUR

T1 - Lower bounds for dimensions of irreducible representations of symmetric groups

AU - Kleshchev, Alexander

AU - Morotti, Lucia

AU - Tiep, Pham Huu

N1 - Funding Information: Received by the editors April 3, 2019, and, in revised form, August 12, 2019. 2010 Mathematics Subject Classification. Primary 20C30, 20C20. The first author was supported by the NSF grant DMS-1700905 and the DFG Mercator program through the University of Stuttgart. The second author was supported by the DFG grant MO 3377/1-1 and the DFG Mercator program through the University of Stuttgart. The third author was supported by the NSF grants DMS-1839351 and DMS-1840702, and the Joshua Barlaz Chair in Mathematics. This work was also supported by the NSF grant DMS-1440140 and Simons Foundation while all three authors were in residence at the MSRI during the Spring 2018 semester.

PY - 2019/12/6

Y1 - 2019/12/6

N2 - We give new, explicit, and asymptotically sharp lower bounds for dimensions of irreducible modular representations of finite symmetric groups.

AB - We give new, explicit, and asymptotically sharp lower bounds for dimensions of irreducible modular representations of finite symmetric groups.

UR - http://www.scopus.com/inward/record.url?scp=85080957699&partnerID=8YFLogxK

U2 - 10.1090/proc/14873

DO - 10.1090/proc/14873

M3 - Article

VL - 148

SP - 1439

EP - 1445

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -