Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 14 (2018), 033, 5 pages      arXiv:1711.06009      https://doi.org/10.3842/SIGMA.2018.033
Contribution to the Special Issue on the Representation Theory of the Symmetric Groups and Related Topics

The Duals of the 2-Modular Irreducible Modules of the Alternating Groups

John Murray
Department of Mathematics & Statistics, Maynooth University, Co. Kildare, Ireland

Received January 04, 2018, in final form April 04, 2018; Published online April 17, 2018

Abstract
We determine the dual modules of all irreducible modules of alternating groups over fields of characteristic 2.

Key words: symmetric group; alternating group; dual module; irreducible module; characteristic 2.

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