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Rational homotopy groups of generalised symmetric spaces

✍ Scribed by S. Terzić


Publisher
Springer-Verlag
Year
2003
Tongue
French
Weight
271 KB
Volume
243
Category
Article
ISSN
0025-5874

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The rational homotopy Lie algebra of cla
✍ Samuel Bruce Smith 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

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