The characters of the finite conformal sympletctic group, CSp(4,q)
The characters of the finite conformal sympletctic group, CSp(4,q)
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有限共角辛群CSp(4,q)的特征
DOI：
10.1080/00927878208822782
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发表时间：
1982
影响因子：
0.7
通讯作者：
K. Shinoda
中科院分区：
文献类型：
--
作者：
K. Shinoda
9其中q在本文中是奇数。本文给出了有限共形辛群CSp（4，q）的普通不可约表示的特征标表。关于这个群体及其表现形式，已经有很多信息。B。Srinivasan在[9]中确定了指标为qI的正规子群~ p（4，~）的特征标表，J. Soto Andrade在[7]中给出了CS~（L+，~）的所有不可约表示的实现，并用GSP（~，~）表示，研究了Weil表示和诱导表示在抛物子群上的分解。我们也
9 where q is odd throughout this paper. The purpose of this note is to give the character table of ordinary irreducible representations of the finite conformal symplectic group CSp (4, q). About this group and its representations, much information is already known. B. Srinivasan determined the character table of~ p (4,~) in [9], which is the normal subgroup of index qI and J. Soto Andrade, in [7], gave realizations of all irreducible representations of CS~(L+,~), which he denotes by GSP (~,~), studying Weil representations and the decompositions of induced representations from parabolic subgroups. We also