Abstract
| Original language | English |
|---|---|
| Number of pages | 15 |
| Journal | Algebras and Representation Theory |
| Early online date | 19 Dec 2018 |
| DOIs | |
| Publication status | E-pub ahead of print - 19 Dec 2018 |
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Keywords
- Basic set
- perfect isometries
- double covering groups of the symmetric and alternating groups
- modular representation theory
Cite this
Basic Sets for the Double Covering Groups of the Symmetric and Alternating Groups in Odd Characteristic. / Brunat, Olivier (Corresponding Author); Gramain, Jean-Baptiste.
In: Algebras and Representation Theory, 19.12.2018.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Basic Sets for the Double Covering Groups of the Symmetric and Alternating Groups in Odd Characteristic
AU - Brunat, Olivier
AU - Gramain, Jean-Baptiste
N1 - Acknowledgements. Part of this work was done at the CIRM in Luminy during a research in pairs stay. The authors wish to thank the CIRM gratefully for their financial and logistical support. The first author is supported by Agence Nationale de la Recherche Projet ACORT ANR-12-JS01-0003. The second author also acknowledges financial support from the Engineering and Physical Sciences Research Council grant Combinatorial Representation Theory EP/M019292/1. The authors wish to thank the referee for several helpful suggestions.
PY - 2018/12/19
Y1 - 2018/12/19
N2 - In this paper, following the methods of Brunat and Gramain (J. Reine Angew. Math. 641, 5 177–202, 2010), we show that the double covering groups of the symmetric and alternating 6 groups have p-basic sets for any odd prime p.
AB - In this paper, following the methods of Brunat and Gramain (J. Reine Angew. Math. 641, 5 177–202, 2010), we show that the double covering groups of the symmetric and alternating 6 groups have p-basic sets for any odd prime p.
KW - Basic set
KW - perfect isometries
KW - double covering groups of the symmetric and alternating groups
KW - modular representation theory
U2 - 10.1007/s10468-018-9843-z
DO - 10.1007/s10468-018-9843-z
M3 - Article
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
SN - 1386-923X
ER -