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OALib Journal期刊
ISSN: 2333-9721
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有限域上有限伪反射群的相对不变式的Poincaré级数
, PP. 68-71
Keywords: 有限域,Poincaré级数,有限伪反射群,相对不变式
Abstract:
设Fq(q=pm,m≥1)为特征为p的有限域,V=Fnq是Fq上的n维向量空间,G是作用在V上的有限伪反射群.设χGF*q是G的一维表示,主要证明了χ(σ)=(detσ)α,0≤α≤r-1,其中,σ∈G,阶为r,r|q-1和有限域上的Molien公式,并且利用Molien公式,计算出了有限域上有限伪反射群的相对不变式的Poincaré级数.
| [1] | Hilbert D. Uber die theorie der algebarischen[J]. Math Ann,1890,36:473-534.
|
| [2] | Chevallay C. Invariants of finite groups generated by reflections[J]. Am J Math,1955,77:778-782.
|
| [3] | Molien T. Uber Die Invarianten Der Lenear Substitutions Gruppen[M]. Berliner:Sitzungsberichte,1898:1152-1156.
|
| [4] | Wan Z X. Invariants Theory of Finite Reflection Groups[M]. Shanghai:Shanghai Jiao Tong University Press,1997.
|
| [5] | Smith L. Free modules of relative invariants and some rings of invariants that are Cohen-Macaulay[J]. Proc Am Math Soc,2006,8:2205-2212.
|
| [6] | Nan J Z, Qin X E. The Poincaré series of relative invariants of finite pseudo-reflection groups[J]. J Math Research and Exposition,2010,30:338-344.
|
| [7] | Nan J Z, Chen Y. The invariants of the groups of lower triangular matrices over finite fields[J]. Acta Math Scientia,2011,A31:678-681.
|
| [8] | Nan J Z, Chen Y. Ring of invariants of general linear group over local ring[J]. Front Math China,2011,6:887-899.
|
| [9] | Nan J Z, Zhao H F. Modular vector invariants of cyclic groups[J]. Math Research and Exposition,2011,6:997-1002.
|
| [10] | Nan J Z, Zhao J. Rational invariants of the generalized classical groups[J]. Commun Math Research,2011,2:127-138.
|
| [11] | Nan J Z, Qin Y F. On invariants of some maximal subgroups of finite classical groups[J]. Algebra Colloquium,2012,19:149-158.
|
| [12] | Sezer M. Explicit separating invariants for cyclic P-groups[J]. J Combinatorial Theory,2011,A118:681-689.
|
| [13] | Chuai J. Invariants of modular groups[J]. J Algebra,2007,318:710-722.
|
| [14] | Dufresne E. Separating invariants and finite reflection groups[J]. Adv Math,2009,221:1979-1989.
|
| [15] | Derksen D, Kemper G. Computing invariants of algebraic groups in arbitrary characteristic[J]. Adv Math,2008,217:2089-2129.
|
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