Exponential growth of Lie algebras of finite global dimension

DOI10.1090/S0002-9939-07-08721-7zbMath1111.55008arXivmath/0509546OpenAlexW2088036521MaRDI QIDQ3426008

Yves Félix, Jean-Claude Thomas, Stephen Halperin

Publication date: 7 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509546

zbMATH Keywords

global dimensiongraded Lie algebralogarithmic indexexponential growth of rational homotopy groups

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) Graded Lie (super)algebras (17B70)

Related Items (2)

The ranks of the homotopy groups of a space of finite LS category ⋮ Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex

Cites Work

• Growth and Lie brackets in the homotopy Lie algebra
• The homotopy Lie algebra for finite complexes
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