The sign representation of Sn is the one-dimensional representation in which a permutation acts by its sign. Tensoring a representation by it multiplies its character value at g by sgn(g).
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- Characteristic-three sign quotient of the Specht module of shape three two
- Characteristic-three Specht module for the two-by-two partition
- Hook-length formula
- Indecomposable projectives of S3 in characteristic three
- One-dimensional representation
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- Regular label of the modular sign representation
- S3-invariant Yukawa matrix for a doublet and a sign singlet
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