2021
DOI: 10.1090/ert/576
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Irreducible tensor products of representations of covering groups of symmetric and alternating groups

Abstract: In this paper we completely classify irreducible tensor products of covering groups of symmetric and alternating groups in characteristic = 2.

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Cited by 4 publications
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“…In view of [4,10,11,18,27] for symmetric groups and [2,6,17,21] for double covers of symmetric and alternating groups, this concludes the problem of describing non-trivial tensor products for symmetric and alternating groups as well as their covering groups in arbitrary characteristic (for the exceptional covering groups for n = 6 or 7 non-trivial irreducible tensor products can be studied using character tables).…”
Section: Reduction Modulo 2 Of Spin Representations Of the Covering G...mentioning
confidence: 99%
“…In view of [4,10,11,18,27] for symmetric groups and [2,6,17,21] for double covers of symmetric and alternating groups, this concludes the problem of describing non-trivial tensor products for symmetric and alternating groups as well as their covering groups in arbitrary characteristic (for the exceptional covering groups for n = 6 or 7 non-trivial irreducible tensor products can be studied using character tables).…”
Section: Reduction Modulo 2 Of Spin Representations Of the Covering G...mentioning
confidence: 99%