TL;DR
This paper proves the Milnor conjecture for Lie groups and the Friedlander conjecture for complex algebraic Lie groups, advancing understanding in algebraic topology and algebraic geometry.
Contribution
It provides the first proofs of the Milnor and Friedlander conjectures for these classes of groups, resolving longstanding open problems.
Findings
Milnor conjecture proven for Lie groups
Friedlander conjecture proven for complex algebraic Lie groups
Advances in algebraic topology and algebraic geometry
Abstract
We prove the Milnor conjecture for Lie groups and the Friedlander conjecture for complex algebraic Lie groups.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory