Armand Borel's mathematical work centered on the theory of Lie
groups. Because of the increasingly important place of this theory
in the whole of mathematics, Borel's work influenced some of the
most important developments of contemporary mathematics. His first
great achievement was to apply to Lie groups and homogenous spaces
the powerful techniques of algebraic topology developed by Leray,
Cartan and Steenrod. In 1992, Borel was awarded the International
Balzan Prize for Mathematics "for his fundamental contributions to
the theory of Lie groups, algebraic groups and arithmetic groups,
and for his indefatigable action in favor of high quality in
mathematical research and of the propagation of new ideas." He
wrote more than 145 articles before 1982, which were collected in
three volumes published in 1983. A fourth volume of subsequent
articles was published in 2001. Volume II collects the papers
written from 1959 to 1968.
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