Poincaré–Birkhoff–Witt deformations of smash product algebras from Hopf actions on Koszul algebras

Poincaré–Birkhoff–Witt deformations of smash product algebras from Hopf actions on Koszul algebras
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DOI:
10.2140/ant.2014.8.1701
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发表时间:
2013-08
影响因子:
1.3
通讯作者:
Chelsea M. Walton;S. Witherspoon
Chelsea M. Walton;S. Witherspoon
中科院分区:
数学2区
文献类型:
--
作者:
Chelsea M. Walton;S. Witherspoon

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设H是一个Hopf代数,B是一个Koszul H-模代数.给出了滤子代数是Smash积代数B#H的Poincare-Birkhoff-Witt(PBW)变形的充要条件.给出了许多变形的例子。
Let H be a Hopf algebra and let B be a Koszul H-module algebra. We provide necessary and sufficient conditions for a filtered algebra to be a Poincare-Birkhoff-Witt (PBW) deformation of the smash product algebra B#H. Many examples of these deformations are given.