Derived Hall Algebras and Lattice Algebras
Derived Hall Algebras and Lattice Algebras
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DOI：
10.1142/s1005386712000399
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发表时间：
2012-07
影响因子：
0.3
通讯作者：
Jie Sheng;Fan Xu
中科院分区：
文献类型：
--
作者：
Jie Sheng;Fan Xu
本文的目的是比较Kapranov的格代数和Toen的导出Hall代数。我们证明了导出的Hall代数可以通过“扭曲和扩展”的方法与格代数相一致，并给出了一个与Heisenberg二重化密切相关的子代数。
The aim of this paper is to compare Kapranov's lattice algebra with Toen's derived Hall algebra. We prove that the derived Hall algebra can be identified with the lattice algebra by the “twist and extend” procedure with a suitable subalgebra closely related to the Heisenberg double.