Quantum groups and deformations of preprojective algebras
Quantum groups and deformations of preprojective algebras
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DOI：
10.1016/j.jalgebra.2004.05.003
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发表时间：
2004-09
影响因子：
0.9
通讯作者：
Shilin Yang
中科院分区：
文献类型：
--
作者：
Shilin Yang
设Γ是包含有限循环块的箭图，Πλ(Γ)是Γ的变形预射影代数。证明了对于适当的矢量Πλ(Γ，λ的适当商uq是有限维量子群。还得到了uq的一些性质。给出了uq与受限量子群uq(SL2)之间的Hopf代数同构。
Let Γ be a quiver containing finite cyclic blocks and Πλ(Γ) be the deformed preprojective algebra of Γ. It is proved that a suitable quotient uqof Πλ(Γ) for an appropriate vector λ is a finite-dimensional quantum group. Some properties of uqare also obtained. An isomorphism as Hopf algebras is given between uqand a restricted quantum group Uq( sl2) .