On the low-dimensional homology of SL_2(k[t,1/t])
|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-theory; Laurent polynomials; Group homology; Linear 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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