Characteristic Zero Loop Space Homology and Enveloping Algebras - Softcover

Popescu, Calin

 
9783639548051: Characteristic Zero Loop Space Homology and Enveloping Algebras
Softcover
ISBN 10: 3639548051 ISBN 13: 9783639548051
Verlag: Éditions universitaires européennes, 2016

Inhaltsangabe

The work contains the doctoral dissertation the author presented at Universite Catholique de Louvain in January, 2000. The first two chapters deal with extensions of results of Quillen, Anick, Scheerer-Tanre and Halperin on the homology of differential graded Lie algebras and their universal enveloping algebras. The last two chapters deal with characteristic zero loop space homology of two-cones (cofibers of maps between wedges of spheres) and fat wedges of spheres, respectively. Numerous examples are discussed in careful detail. The topic may interest rational homotopists, Lie algebraists and, possibly, some group theorists.

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Reseña del editor

The work contains the doctoral dissertation the author presented at Universite Catholique de Louvain in January, 2000. The first two chapters deal with extensions of results of Quillen, Anick, Scheerer-Tanre and Halperin on the homology of differential graded Lie algebras and their universal enveloping algebras. The last two chapters deal with characteristic zero loop space homology of two-cones (cofibers of maps between wedges of spheres) and fat wedges of spheres, respectively. Numerous examples are discussed in careful detail. The topic may interest rational homotopists, Lie algebraists and, possibly, some group theorists.

Biografía del autor

The author has received his Ph.D. from Universite Catholique de Louvain, Belgium, in 2000, under Professor Yves Felix. He is now with the Institute of Mathematics of the Romanian Academy. His main field is algebraic topology and has more than a passing interest in differential topology and geometry, geometric combinatorics and graph theory.

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Verlag
Éditions universitaires européennes
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3639548051
ISBN 13 
9783639548051
Einband
Tapa blanda
Anzahl der Seiten
80
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Verantwortliche Person
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