Small-dimensional projective representations of symmetric and alternating groups

Details Small-dimensional projective representations of symmetric and alternating groups Small-dimensional projective representations of symmetric and alternating groups

2011-06-16

arxiv.org/abs/1106.3123v2

Mathematics

Representation Theory

35 pages

Scientific paper

We classify the irreducible projective representations of symmetric and
alternating groups of minimal possible and second minimal possible dimensions,
and get a lower bound for the third minimal dimension. On the way we obtain
some new results on branching which might be of independent interest.

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