Publikationsdetails
Kronecker positivity and 2-modular representation theory
- verfasst von
- Christine Bessenrodt, Christopher Bowman, Louise Sutton
- Abstract
This paper consists of two prongs. Firstly, we prove that any Specht module labelled by a 2-separated partition is semisimple and we completely determine its decomposition as a direct sum of graded simple modules. Secondly, we apply these results and other modular representation theoretic techniques on the study of Kronecker coefficients and hence verify Saxl’s conjecture for several large new families of partitions. In particular, we verify Saxl’s conjecture for all irreducible characters of S
n which are of 2-height zero.
- Organisationseinheit(en)
-
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Externe Organisation(en)
-
University of York
Okinawa Institute of Science and Technology Graduate University (OIST)
- Typ
- Artikel
- Journal
- Transactions of the American Mathematical Society. Series B
- Band
- 8
- Seiten
- 1024-1055
- Anzahl der Seiten
- 32
- ISSN
- 2330-0000
- Publikationsdatum
- 10.12.2021
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Mathematik (sonstige)
- Elektronische Version(en)
-
https://doi.org/10.48550/arXiv.1903.07717 (Zugang:
Offen)
https://doi.org/10.1090/btran/70 (Zugang: Offen)