Homology of tangent groups considered as discrete groups and scissors congruence
DOI10.1016/S0022-4049(97)00136-9zbMath0928.18006MaRDI QIDQ1295612
Publication date: 3 January 2000
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
orthogonal groupshyperbolic spaceunitary groupshomological stabilityhomology of Lie groups made discretecomplex of configurationsgeometric algebra over dual numbersscissors congruences of polyhedratangent groups
Polyhedra and polytopes; regular figures, division of spaces (51M20) Homology and cohomology of Lie groups (57T10) Lie groups (22E99) Cohomology theory for linear algebraic groups (20G10) Connections of group theory with homological algebra and category theory (20J99) Homological algebra in category theory, derived categories and functors (18G99) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homology of Euclidean groups of motions made discrete and Euclidean scissors congruences
- Homology of classical Lie groups made discrete. I: Stability theorems and Schur multipliers
- Homology of dimension three of split simple Lie algebras extended over a commutative algebra
- Homology of classical Lie groups made discrete. II: \(H_ 2\), \(H_ 3\), and relations with scissors congruences
- Homologie du groupe linéaire et K-théorie de Milnor des anneaux. (Homology of the linear group and Milnor's K-theory of rings)
- Scissors congruences. II
- Algebra of polytopes and homology of flag complexes
- \(\lambda\)-structures in algebraic \(K\)-theory and cyclic homology
- Simple subrings of matrix rings over finite fields
- The indecomposable \(K_3\) of rings and homology of \(\text{SL}_2\)
- Homology of \(O(n)\) and \(O^1(1,n)\) made discrete: An application of edgewise subdivision
- Homology of classical Lie groups made discrete. III
- Conditions necessaires et suffisantes pour l'équivalence des polyedres de l'espace euclidien à trois dimensions
- Homology and homomorphisms of rings
- Sur l'homologie de $\mathrm{SL}_2$ a coefficients dans l'action adjointe.
- HOMOLOGY OF THE FULL LINEAR GROUP OVER A LOCAL RING, AND MILNOR'SK-THEORY
- The Algebra of Polyhedra and the Dehn-Sydler Theorem.
This page was built for publication: Homology of tangent groups considered as discrete groups and scissors congruence