约化群(reduced group)是计算与研究K0群的一个工具。对任一环R总有惟一的环同态f：Z→R，这里的Z为整数环。f诱导出群同态K0(f)：Ko(Z)→Ko(R)，称K~o(R)≡Ko(R)/Im Ko(f)=coker Ko(f)为R的约化群。Im Ko(f)=Z·[R]是[R]在Ko(R)中生成的循环群。 群与群同态、环与环同态都是数学中代数论中的重要概念。
约化克里福特群 reduced clifford group
约化同调群 [数] reduced homology group
约化有序对群 [数] reduced ordered pair group
约化正交群 [数] reduced orthogonal group
半约化代数群 [数] semireductive algebraic group
约化阿贝尔群 [数] reduced Abelian group
约化怀特黑德群 reduced Whitehead group
约化变换群 [数] reduced abelian group
李群约化 lie group reduction
This thesis mainly consider the construction of irreducible supercuspidal representations of simply-connected reductive group G = Sp_4(F), where F is a non-archimedean local field of characteristic 0.
本论文主要考虑单连通约化群G=S_(p4)(F)的不可约supercuspidal表示的构造。
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对于标量粒子，其质量的获得则主要通过推广的平群约化方法。
And the mass for scalar particles is mainly given by generalized reduction on trivial group.
从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。
Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.
该文利用自由幺半群上的有理形式幂级数理论，构造出该概率分布的约化线性表示，从而完全解决了噪声变量的概率分布计算问题。
In this paper, we propose a reduced linear representation of such distribution based on the formal power series on free monoid which can be easily used to calculate the probability distribution.
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