绝对不可约簇,absolutely irreducible variety

1)absolutely irreducible variety
绝对不可约簇

2)absolutely irreducible character
绝对不可约特征

3)absolute irreducible
绝对不可约的

4)absolutely-irreducible representation
绝对不可约表示

5)absolute irreducibility
绝对不可约性

6)absolutely irreducible F-module
绝对不可约F[H]-模
1.
The topic of this paper is the discussion about the extension of absolutely irreducible F-module,and the author obtains the sufficient condition s extension:if there exists a∈F,and a~n=σ_n,N can be extended into F-module.
设N为绝对不可约F[H]-模,T(N)=G,G/H是n阶循环群,H\G={gi｜i=0,1,…,n-1};g∈G,gn∈H,φ为N的Q-自同构,σn:xφn(x)gn=φn(x)h0,经讨论,获得绝对不可约F[H]-模的扩充存在的充分条件是若存在a∈F(F为任意域),使an=σn,则N可扩充为F[G]-模;若G为交换群,F为代数闭域, H≤G,N为任意不可约F[H]-模N,则N可扩充为F[G]-模。




补充资料：绝对
【绝对】绝了相对，叫做“绝对”，与绝待同义。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。

绝对不可约簇,absolutely irreducible variety