首页 | 本学科首页   官方微博 | 高级检索  
     


Determinants in Triangulated Categories
Authors:Avishay Vaknin
Affiliation:(1) Department of Mathematics, The Hebrew University, Givat-Ram, Jerusalem, 91904, Israel
Abstract:For a small triangulated category 
$$mathcal{T}$$
, Bass's K1 group 
$$K_1^{det } (mathcal{T})$$
is described, and the theorem of the heart is proved. We define the determinant map from 
$$K_1^{det } (mathcal{T})$$
to Neeman's 
$$K_1 (mathcal{T})$$
, and we compute this map when 
$$mathcal{T} = D^b left( mathcal{A} right)$$
is the derived category of an Abelian category 
$$mathcal{A}$$
.
Keywords:triangulated categories  algebraic K-theory  determinant
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号