On the low-dimensional homology of SL_2(k[t,1/t])

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Title: On the low-dimensional homology of SL_2(k[t,1/t])
Authors: Hutchinson, Kevin
Permanent link: http://hdl.handle.net/10197/6511
Date: 1-Mar-2015
Abstract: We prove analogues of the fundamental theorem of K -theory for the second and the third homology of SL2 over an infinite field. The statements of the theorems involve Milnor–Witt K -theory and refined scissors congruence groups. We use these results to calculate the low-dimensional homology of SL2 of Laurent polynomials over certain fields.
Type of material: Journal Article
Publisher: Elsevier
Copyright (published version): 2014 Elsevier
Keywords: K-theoryLaurent polynomialsGroup homologyLinear groups
DOI: 10.1016/j.jalgebra.2014.11.021
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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