The smash product for derived categories in stable homotopy theory

被引：4
|
作者：
Mandell, Michael A. [1 ]
机构：
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
来源：
ADVANCES IN MATHEMATICS | 2012年 / 230卷 / 4-6期
基金：
美国国家科学基金会;
关键词：
Smash product; Stable category; Derived category; E-n ring spectrum; Little cubes operad; Enveloping algebra; Moore algebra; MODEL CATEGORIES; SPECTRA;
D O I：
10.1016/j.aim.2012.04.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An E-1 (or A(infinity)) ring spectrum R has a derived category of modules D-R. An E-2 structure on R endows D-R with a monoidal product boolean AND(R). An E-3 structure on R endows boolean AND(R) with a braiding. If the E-3 structure extends to an E-4 structure then the braided monoidal product boolean AND(R) is symmetric monoidal. (C) 2012 Elsevier Inc. All rights reserved.
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页码：1531 / 1556
页数：26
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