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  • Representations of symmetric groups with non-trivial determinant 
    Ayyer, Arvind; Prasad, Amritanshu; SPALLONE, STEVEN (Elsevier B.V., 2017-08)
    We give a closed formula for the number of partitions A of n such that the corresponding irreducible representation V-lambda of S-n has non-trivial determinant. We determine how many of these partitions are self-conjugate ...
  • Spinorial representations of symmetric groups 
    GANGULY, JYOTIRMOY; SPALLONE, STEVEN (Elsevier B.V., 2020-02)
    A real representation ( )pi of a finite group may be regarded as a homomorphism to an orthogonal group O(V). For symmetric groups S-n, alternating groups A(n), and products S-n x S-n' of symmetric groups, we give criteria ...