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Quantized affine Lie algebras and diagonalization of braid generators

โœ Scribed by M. D. Gould; Y. -Z. Zhang


Publisher
Springer
Year
1994
Tongue
English
Weight
411 KB
Volume
30
Category
Article
ISSN
0377-9017

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Braid groups, infinite Lie algebras of C
โœ Stephen P. Humphries ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 , .