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R-analogue of the Burnside ring of profinite groups and free Lie algebras

✍ Scribed by Young-Tak Oh


Book ID
108051377
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
476 KB
Volume
190
Category
Article
ISSN
0001-8708

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πŸ“œ SIMILAR VOLUMES


Braid groups, infinite Lie algebras of C
✍ 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 , .