We apply the techniques of highly structured ring and module spectra to prove a duality theorem for the cohomology ring of the classifying space of a compact Lie group. This generalizes results of 31 and Greenlees [lo] in the case of finite groups. In particular, we prove a functional equation for t
โฆ LIBER โฆ
Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups
โ Scribed by V. G. Kac
- Publisher
- Springer-Verlag
- Year
- 1985
- Tongue
- English
- Weight
- 555 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
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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 , .