Braid groups, infinite Lie algebras of C
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Stephen P. Humphries
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Article
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1999
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Elsevier Science
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English
โ 260 KB
In this paper we show that each element ฮฑ of the pure braid group P n or the pure symmetric automorphism group H (n) of the free group F n of rank n can be represented as the special Lie algebra of Cartan type. There is a corresponding action of these groups on C[[a 1 , . . . , a r ]] and C[a 1 , .