Tambara functors
Tambara functors
复制标题
丹原函子
DOI：
--
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
N. Strickland
中科院分区：
文献类型：
--
作者：
N. Strickland
我们调查和推广的理论Tambara函子。这些是类似于麦基函子的代数结构，但具有乘法范数映射和加法转移映射，以及最容易在抽象范畴框架中制定的管理它们相互作用的规则。例子包括伯恩赛德环、表示环和稳定同伦理论中的等变E∞环谱的同伦群。其他一些例子与Dress和Siebeneicher意义上的Witt环有关。
We survey and extend the theory of Tambara functors. These are algebraic structures similar to Mackey functors, but with multiplicative norm maps as well as additive transfer maps, and a rule governing their interaction that is most easily formulated in an abstract categorical framework. Examples include Burnside rings, representation rings, and homotopy groups of equivariant E∞ ring spectra in stable homotopy theory. Some other examples are related to Witt rings in the sense of Dress and Siebeneicher.