Homology of Euclidean groups of motions made discrete and Euclidean scissors congruences

DOI10.1007/BF02392750zbMath0724.57027WikidataQ56139357 ScholiaQ56139357MaRDI QIDQ757913

Chih-Han Sah, Johan L. Dupont

Publication date: 1990

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

volumeDehn invariantsscissors congruencehomology theoryclassical Lie groups

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10)

Related Items (7)

Homology of \(O(n)\) and \(O^1(1,n)\) made discrete: An application of edgewise subdivision ⋮ On the homology of the orthogonal coefficient group in Clifford algebras ⋮ \(\lambda\)-structures in algebraic \(K\)-theory and cyclic homology ⋮ Hinged dissections exist ⋮ Homology of tangent groups considered as discrete groups and scissors congruence ⋮ Volumes of hyperbolic manifolds and mixed Tate motives ⋮ Sur l'homologie des groupes unitaires à coefficients polynomiaux

Cites Work

• Cyclic homology and the Lie algebra homology of matrices
• Non-commutative differential geometry
• Homology of classical Lie groups made discrete. I: Stability theorems and Schur multipliers
• Homology of classical Lie groups made discrete. II: \(H_ 2\), \(H_ 3\), and relations with scissors congruences
• Scissors congruences. II
• Algebra of polytopes and homology of flag complexes
• Homology of classical Lie groups made discrete. III
• Conditions necessaires et suffisantes pour l'équivalence des polyedres de l'espace euclidien à trois dimensions
• Differential Forms On Regular Affine Algebras
• The algebra of polytopes in affine spaces.
• The Algebra of Polyhedra and the Dehn-Sydler Theorem.
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