Descent and Forms of Tensor Categories
Descent and Forms of Tensor Categories
复制标题
张量范畴的下降和形式
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Shlomo Gelaki
中科院分区：
文献类型：
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作者：
P. Etingof;Shlomo Gelaki
本文发展了任意域上张量范畴的下降理论和形式。我们用代数和同伦语言描述了这种形式的分类的一般方案，并给出了形式的显式分类的例子。我们还讨论了弱融合环的范畴化问题，并对最简单的此类环族，确定哪些是可范畴化的。
We develop a theory of descent and forms of tensor categories over arbitrary fields. We describe the general scheme of classification of such forms using algebraic and homotopical lan- guage, and give examples of explicit classification of forms. We also discuss the problem of categorification of weak fusion rings, and for the simplest families of such rings, determine which ones are categorifiable.