X iv : h ep - t h / 01 09 20 6 v 1 2 7 Se p 20 01 Analytic loops and gauge fields 1
نویسنده
چکیده
In this paper the linear representations of analytic Moufang loops are investigated. We prove that every representation of semisimple analytic Moufang loop is completely reducible and find all nonasso-ciative irreducible representations. We show that such representations are closely associated with the (anti-)self-dual Yang-Mills equations in R 8 .
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