From triangulated categories to Lie algebras: A theorem of Peng and Xiao

From triangulated categories to Lie algebras: A theorem of Peng and Xiao
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DOI:
10.1090/conm/406/07653
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发表时间:
2005-02
期刊:
arXiv: Representation Theory
影响因子:
--
通讯作者:
Andrew Hubery
Andrew Hubery
中科院分区:
其他
文献类型:
--
作者:
Andrew Hubery

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本文给出了Peng和Xiao的一个定理的简化和更直观的证明,该定理从任意2-周期三角化k-范畴(满足某些有限性假设)构造了一个李代数。
We present a simplified and more intuitive proof of a theorem of Peng and Xiao, which constructs a Lie algebra from any 2-periodic triangulated k-category (satisfying some finiteness assumptions).