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Groups of strings. (English) Zbl 1028.22019
Section 1 motivates the subject of the paper. Section 2 introduces the groups of strings and N-gradation Lie algebras. Section 3 discusses four types of examples of groups of strings, insisting on the groups of strings attached to topological groups and those attached to Lie algebras. Section 4 describes the notion of analyticity for such groups. Section 5 introduces and studies the concept of the N-gradation Lie algebra L(P) attached to a topological group of strings P. Section 6 studies the Lie functor, and Section 7 indicates some applications of the previous theory.

MSC:
22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
17B65 Infinite-dimensional Lie (super)algebras
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