Third homology of \(\mathrm{SL}(2,\mathbb R)\) made discrete

DOI10.1016/0022-4049(83)90054-3zbMath0527.18006OpenAlexW2003099864WikidataQ127343518 ScholiaQ127343518MaRDI QIDQ595769

Chih-Han Sah, Walter R. Parry

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90054-3

zbMATH Keywords

polylogarithmMilnor conjecturesymbolsSchur multiplierhomology of groups\(H_2\)\(K_2\)Rogers L-function

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Polylogarithms and relations with (K)-theory (11G55) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Higher symbols, Milnor (K)-theory (19D45)

Related Items

Dilogarithm identities in conformal field theory and group homology ⋮ A dilogarithmic formula for the Cheeger-Chern-Simons class ⋮ Homology of classical Lie groups made discrete. II: \(H_ 2\), \(H_ 3\), and relations with scissors congruences ⋮ On the second homology group of the discrete group of diffeomorphisms of the circle ⋮ On the homology of the orthogonal coefficient group in Clifford algebras ⋮ The third homology of \(\mathrm{SL}_2\) of fields with discrete valuation ⋮ Third homology of general linear groups ⋮ On the low-dimensional homology of \(\mathrm{SL}_2(k [t, t^{- 1})\)] ⋮ The dilogarithm as a characteristic class for flat bundles ⋮ Geometric structures and configurations of flags in orbits of real forms ⋮ Area preserving pl homeomorphisms and relations in \(K_2\) ⋮ Homology of classical Lie groups made discrete. III ⋮ A Bloch-Wigner theorem over rings with many units. II.

Cites Work

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