On the low-dimensional homology of SL2(k[t, t-1])

被引：9

作者：

Hutchinson, Kevin ^{[1
]}

机构：

[1] Univ Coll Dublin, Sch Math Sci, Dublin, Ireland

来源：

JOURNAL OF ALGEBRA | 2015年 / 425卷

关键词：

K-theory; Group homology; 3RD HOMOLOGY;

D O I：

10.1016/j.jalgebra.2014.11.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：324 / 366

页数：43

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