On the low-dimensional homology of \(\mathrm{SL}_2(k [t, t^{- 1}])\)

DOI10.1016/j.jalgebra.2014.11.021zbMath1310.19004arXiv1404.5896OpenAlexW1974410742MaRDI QIDQ2254148

Kevin Hutchinson

Publication date: 4 February 2015

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

Full work available at URL: https://arxiv.org/abs/1404.5896

zbMATH Keywords

\(K\)-theorygroup homology

Mathematics Subject Classification ID

Cohomology theory for linear algebraic groups (20G10) (K)-theory of forms (19G99)

Related Items (9)

The third homology of \(\mathrm{SL}_2(\mathbb{Q})\) ⋮ The homology of \(SL_2\) of discrete valuation rings ⋮ Homology of \(\operatorname{SL}_2\) over function fields. I: Parabolic subcomplexes ⋮ Quotients of the Bruhat-Tits tree by function field analogs of the Hecke congruence subgroups ⋮ A refined scissors congruence group and the third homology of \(\operatorname{SL}_2\) ⋮ A refinement of a conjecture of Quillen. ⋮ The third homology of \(\mathrm{SL}_2\) of fields with discrete valuation ⋮ The third homology of \(\mathrm {SL}_2\) of local rings ⋮ The second homology of \(\mathrm{SL}_2\) of \(S\)-integers

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