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The rational homotopy Lie algebra of classifying spaces for formal two-stage spaces

โœ Scribed by Samuel Bruce Smith

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
117 KB
Volume
160
Category
Article
ISSN
0022-4049

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โœฆ Synopsis

We compute the center and nilpotency of the graded Lie algebra * ( Baut1(X ))โŠ—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 or symplectic ag manifold.

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