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A. Borel (1953)
Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie CompactsAnnals of Mathematics, 57
M. Auslander, D. Buchsbaum (1957)
Homological dimension in local ringsTransactions of the American Mathematical Society, 85
(1979)
Lie algebras (Dover
Joseph Becker, D. Gottlieb (1975)
THE TRANSFER MAP AND FIBER BUNDLESTopology, 14
H. Toda, M. Mimura (1991)
Topology of Lie Groups, I and II
M. Butler (1996)
AN INTRODUCTION TO HOMOLOGICAL ALGEBRABulletin of The London Mathematical Society, 28
F. Warner (1971)
Foundations of Differentiable Manifolds and Lie Groups
J. Adams (1969)
Lectures on Lie groups
M. Rothenberg, N. Steenrod (1965)
The cohomology of classifying spaces of $H$-spacesBulletin of the American Mathematical Society, 71
(1973)
II, Pure and Applied Mathematics
T. Willmore (1984)
FOUNDATIONS OF DIFFERENTIABLE MANIFOLDS AND LIE GROUPS (Graduate Texts in Mathematics, 94)Bulletin of The London Mathematical Society, 16
S. Helgason (1968)
LIE GROUPS AND SYMMETRIC SPACES.
E-mail address: dwyer.1@nd.edu Purdue University
J. Humphreys (1990)
Reflection groups and Coxeter groups: Coxeter groups
W. Dwyer, C. Wilkerson (1995)
Product splittings for $p$-compact groupsFundamenta Mathematicae
(1997)
E-mail address: wilker@math.purdue.edu Processed July 14
M. Atiyah, I. MacDonald (1969)
Introduction to commutative algebra
R. Carter (1991)
REFLECTION GROUPS AND COXETER GROUPS (Cambridge Studies in Advanced Mathematics 29)Bulletin of The London Mathematical Society, 23
S. Helgason (1978)
Differential Geometry, Lie Groups, and Symmetric Spaces
Larry Smith (1970)
Lectures on the Eilenberg-Moore spectral sequence
R. Bott, L. Tu (1982)
Differential forms in algebraic topology, 82
R. Bryant (1995)
An introduction to Lie groups and symplectic geometry, 1
W. Greub, S. Halperin, Ray Vanstone (1976)
Connections, curvature and cohomology
H. Hopf (1942)
Maximale Toroide und singuläre Elemente in geschlossenen Lieschen GruppenCommentarii Mathematici Helvetici, 15
W. Dwyer, C. Wilkerson (1994)
Homotopy fixed-point methods for Lie groups and finite loop spacesAnnals of Mathematics, 139
(1995)
Algebraic topology (Springer, Berlin
W. Dwyer, C. Wilkerson (1997)
THE CENTER OF A p–COMPACT GROUP
P. Watts (1994)
ConnectionsProceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 208
A. Dold (1965)
Fixed point index and fixed point theorem for Euclidean neighborhood retractsTopology, 4
J. Milnor, John Moore (1965)
On the Structure of Hopf AlgebrasAnnals of Mathematics, 81
We give geometric proofs of some of the basic structure theorems for compact Lie groups. The goal is to take a fresh look at these theorems, prove some that are difficult to find in the literature, and illustrate an approach to the theorems that can be imitated in the homotopy theoretic setting of p‐compact groups. 1991 Mathematics Subject Classification 22E15, 55P35.
Bulletin of the London Mathematical Society – Wiley
Published: Jul 1, 1998
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