An algebraic model for free rational G-spectra for connected compact Lie groups G
An algebraic model for free rational G-spectra for connected compact Lie groups G
复制标题
连通紧李群 G 的自由有理 G 谱代数模型
DOI：
10.1112/blms/bdt066
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发表时间：
2009
影响因子：
0.8
通讯作者：
B. Shipley
中科院分区：
文献类型：
--
作者：
J. Greenlees;B. Shipley
证明了连通紧李群G的自由有理G-谱范畴与多项式环H*（BG）上的挠微分分次模范畴是Quillen等价的.成分是Schwede和Shipley（Topology 42（1）：103-153，2003）的丰富的Morita等价，Shipley（Am J Math 129：351-379，2007）的函子使得有理谱代数，Koszul对偶和基于多项式环的导出范畴的简单性的厚子范畴参数。
We show that the category of free rational G-spectra for a connected compact Lie group G is Quillen equivalent to the category of torsion differential graded modules over the polynomial ring H*(BG). The ingredients are the enriched Morita equivalences of Schwede and Shipley (Topology 42(1):103–153, 2003), the functors of Shipley (Am J Math 129:351–379, 2007) making rational spectra algebraic, Koszul duality and thick subcategory arguments based on the simplicity of the derived category of a polynomial ring.