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- W2000256069 abstract "In a recent paper, R. Gow showed that in certain cases the basic spin representations of the group (of degree ) can be rational. In such cases, the -invariant lattices in the corresponding rational module have many interesting properties. In the present paper all possibilities are found for the groups . Also, a conjecture of Gow is proved: For , , there is among the -invariant lattices the even unimodular Barnes-Wall lattice . At the same time, the rationality of the basic spin representation of and the reducibility of as a -module are proved.Bibliography: 21 titles." @default.
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- W2000256069 date "1994-02-28" @default.
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- W2000256069 title "BASIC SPIN REPRESENTATIONS OF ALTERNATING GROUPS, GOW LATTICES, AND BARNES-WALL LATTICES" @default.
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- W2000256069 doi "https://doi.org/10.1070/sm1994v077n02abeh003445" @default.
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