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Abstract For any finite group G it is an interesting question to ask which ordinary irreducible representations of G remain irreducible in a given characteristic p. We answer this question… Click to show full abstract
Abstract For any finite group G it is an interesting question to ask which ordinary irreducible representations of G remain irreducible in a given characteristic p. We answer this question for p = 2 when G is the proper double cover of the alternating group. As a key ingredient in the proof, we prove a formula for the decomposition numbers in Rouquier blocks of double covers of symmetric groups, in terms of Schur P-functions.
Keywords:
projective representations;
remain irreducible;
representations alternating;
alternating group;
irreducible projective;
group
Journal Title: Advances in Mathematics
Year Published: 2020
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Journal Title: Advances in Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!