Homology of classical Lie groups made discrete. II: \(H_ 2\), \(H_ 3\), and relations with scissors congruences

DOI10.1016/0021-8693(88)90191-3zbMath0657.55022OpenAlexW2091692392WikidataQ115366418 ScholiaQ115366418MaRDI QIDQ1110864

Johan L. Dupont, Chih-Han Sah, Walter R. Parry

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90191-3

zbMATH Keywords

homology of Lie groups made discretehomology of SL(n,\({\mathbb{C}})\) made discretesecond algebraic K-group of \({\mathbb{C}}\)simple, simply-connected nonabelian Lie group

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Homology and cohomology of Lie groups (57T10) Lie algebras of Lie groups (22E60) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

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Cites Work

• Third homology of \(\mathrm{SL}(2,\mathbb R)\) made discrete
• On the homology of Lie groups made discrete
• On the K-theory of local fields
• On the K-theory of algebraically closed fields
• Homology of classical Lie groups made discrete. I: Stability theorems and Schur multipliers
• Scissors congruences. II
• Algebra of polytopes and homology of flag complexes
• \(K_2\) of quaternion algebras
• Homology of classical Lie groups made discrete. III
• A finiteness theorem for K\(_2\) of a number field
• Scissors congruences, I. The Gauss-Bonnet map.
• Second homology of lie groups made discrete
• The Algebra of Polyhedra and the Dehn-Sydler Theorem.
• Introduction to Algebraic K-Theory. (AM-72)
• On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua
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