Ford, Benhttp://hdl.handle.net/10211.1/4872022-09-29T20:43:23Z2022-09-29T20:43:23ZOvergroups of Irreducible Linear Groups, IIFord, Benhttp://hdl.handle.net/10211.1/4892013-06-28T21:31:43Z1999-10-01T00:00:00ZOvergroups of Irreducible Linear Groups, II
Ford, Ben
First published in Transactions of the American Mathematical Society. Soc. 351 (1999), published by the American Mathematical Society
1999-10-01T00:00:00ZIrreducible Representations of the Alternating Group in Odd CharacteristicFord, Benhttp://hdl.handle.net/10211.1/4882013-06-28T21:31:42Z1997-02-01T00:00:00ZIrreducible Representations of the Alternating Group in Odd Characteristic
Ford, Ben
We use the recently-proved conjecture of Mullineux to determine
which modular irreducible representations of the symmetric group
∑n split on restriction to An, and which remain irreducible (everything
taking place over a splitting field for An of characteristic p .2). An
indexing of the absolutely irreducible representations of An is thus obtained.
A modular analogue of the Frobenius symbol for a partition is
introduced, which makes the Mullineux map somewhat more intuitive.
First published in Proceedings of the American Mathematical Society 125 (1997), published by the American Mathematical Society
1997-02-01T00:00:00Z