Lower bounds for dimensions of irreducible representations of symmetric groups
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- by Alexander Kleshchev, Lucia Morotti and Pham Huu Tiep PDF
- Proc. Amer. Math. Soc. 148 (2020), 1439-1445 Request permission
Abstract:
We give new, explicit, and asymptotically sharp lower bounds for dimensions of irreducible modular representations of finite symmetric groups.References
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Additional Information
- Alexander Kleshchev
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
- MR Author ID: 268538
- Email: klesh@uoregon.edu
- Lucia Morotti
- Affiliation: Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Leibniz Universität Hannover, 30167 Hannover, Germany
- MR Author ID: 1037296
- Email: morotti@math.uni-hannover.de
- Pham Huu Tiep
- Affiliation: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854
- MR Author ID: 230310
- Email: tiep@math.rutgers.edu
- Received by editor(s): April 3, 2019
- Received by editor(s) in revised form: August 12, 2019
- Published electronically: December 6, 2019
- Additional Notes: 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. - Communicated by: Martin Liebeck
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 1439-1445
- MSC (2010): Primary 20C30, 20C20
- DOI: https://doi.org/10.1090/proc/14873
- MathSciNet review: 4069183