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Automorphisms of infinite dimensional Lie algebras of Cartan type

✍ Scribed by Jin Ning

Book ID
110556160
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1997
Tongue
English
Weight
298 KB
Volume
13
Category
Article
ISSN
1439-7617

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Braid groups, infinite Lie algebras of C
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✍ Stephen P. Humphries πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 260 KB

In this paper we show that each element Ξ± 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 , .