Let X be a l-connected CW-complex of finite type and LX its rational homotopy Lie algebra. In this work, we show that there is a spectral sequence whose E2 term is the Lie algebra Extur,(Q, LX), and which converges to the homotopy Lie algebra of the classifying space BauH. Moreover, some terms of t
✦ LIBER ✦
On the homotopy type of the classifying space of the exceptional Lie group F4
✍ Scribed by Aleš Vavpetič; Antonio Viruel
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 161 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0025-2611
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We compute the center and nilpotency of the graded Lie algebra \* ( Baut1(X ))⊗Q for a large class of formal spaces X: The latter calculation determines the rational homotopical nilpotency of the space of self-equivalences aut1(X ) for these X . Our results apply, in particular, when X is a complex