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 -