半单Hopf代数的Noether定理

徐清舟. 半单Hopf代数的Noether定理[J]. 信阳师范学院学报(自然科学版), 2006, 19(2): 128-129.

引用本文:

徐清舟. 半单Hopf代数的Noether定理[J]. 信阳师范学院学报(自然科学版), 2006, 19(2): 128-129.

XU Qing-zhou. Noether Theorem of Semisimple Hopf Algebra[J]. Journal of Xinyang Normal University (Natural Science Edition), 2006, 19(2): 128-129.

Citation:

XU Qing-zhou. Noether Theorem of Semisimple Hopf Algebra[J]. Journal of Xinyang Normal University (Natural Science Edition), 2006, 19(2): 128-129.

Noether Theorem of Semisimple Hopf Algebra

摘要: 设H是一个有限维Hopf代数,给出其上Sweed ler上同调的定义.证明了如果H是半单Hopf代数,则H1(H,A)=0,这里的A是一个H-模.所得结论推广了经典的Noether定理.

Abstract: Let H be a finite-dimensional Hopf algebra,A be an H-module.This paper gives the definition of Sweedler H-colomology,proves that H′(H,A)=0 when H is semisimple,which generalizes the classical Noether theorem.

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