GENERATORS OF THE EISENSTEIN-PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS

被引：3

作者：

Xie, Baohua ^{[1
]}

Wang, Jieyan ^{[1
]}

Jiang, Yueping ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

GLASGOW MATHEMATICAL JOURNAL | 2013年 / 55卷 / 03期

关键词：

2000 Mathematics Subject Classification Primary 32M05; 22E40; Secondary; 32M15;

D O I：

10.1017/S001708951200081X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Little is known about the generators system of the higher dimensional Picard modular groups. In this paper, we prove that the higher dimensional Eisenstein-Picard modular group PU(3, 1; Z[omega(3)]) in three complex dimensions can be generated by four given transformations.

引用

下载

页码：645 / 654

页数：10

共 50 条

[21] The geometry of the Gauss-Picard modular group
Falbel, Elisha
Francsics, Gabor
Parker, John R.
MATHEMATISCHE ANNALEN, 2011, 349 (02) : 459 - 508
[22] ON THE GENERATORS OF THE SYMPLECTIC MODULAR GROUP
HUA, LK
REINER, I
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 65 (MAY) : 415 - 426
[23] A semi-explicit fundamental domain for a Picard modular group in complex hyperbolic space
Francsics, G
Lax, PD
GEOMETRIC ANALYSIS OF PDE AND SEVERAL COMPLEX VARIABLES: DEDICATED TO FRANCOIS TREVES, 2005, 368 : 211 - 226
[24] ANALYTIC CONTINUATION OF THE EISENSTEIN SERIES TO SIEGEL MODULAR GROUP
DIEHL, B
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1980, 317 : 40 - 73
[25] The Eisenstein family for the modular group along closed geodesics
Matthes, R
MATHEMATISCHE ZEITSCHRIFT, 1996, 222 (04) : 627 - 653
[26] Eisenstein series twisted by modular symbols for the group SLn
Goldfeld, D
Gunnells, PE
MATHEMATICAL RESEARCH LETTERS, 2000, 7 (5-6) : 747 - 756
[27] ON THE PICARD GROUP OF A COMPACT COMPLEX NILMANIFOLD
FISHER, RJ
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1983, 13 (04) : 631 - 638
[28] THE PICARD GROUP OF A COMPLEX QUOTIENT VARIETY
FELDMULLER, D
MANUSCRIPTA MATHEMATICA, 1989, 65 (04) : 385 - 393
[29] The Picard group of topological modular forms via descent theory
Mathew, Akhil
Stojanoska, Vesna
GEOMETRY & TOPOLOGY, 2016, 20 (06) : 3133 - 3217
[30] An explicit spine for the Picard modular group over the Gaussian integers
Yasaki, Dan
JOURNAL OF NUMBER THEORY, 2008, 128 (01) : 207 - 234

← 1 2 3 4 5 →