Eichler-Shimura isomorphism for complex hyperbolic lattices

被引：1
|
作者：
Kim, Inkang [1 ]
Zhang, Genkai [2 ]
机构：
[1] KIAS, Sch Math, Heogiro 85, Seoul 130722, South Korea
[2] Gothenburg Univ, Chalmers Univ Technol & Math Sci, Math Sci, SE-41296 Gothenburg, Sweden
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2017年 / 121卷
关键词：
Complex hyperbolic lattice; First cohomology; Eichler-Shimura isomorphism; PROJECTIVE-STRUCTURES; LOCAL RIGIDITY; LIE-GROUPS; SPACE; COHOMOLOGY;
D O I：
10.1016/j.geomphys.2017.08.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the cohomology group H-1(Gamma, p) of a discrete subgroup Gamma subset of G = SU(n, 1) and the symmetric tensor representation p on S-m(c(n+1)). We give an elementary proof of the Eichler-Shimura isomorphism that harmonic forms H-1(Gamma\ G/K, p) are (0, 1)-forms for the automorphic holomorphic bundle induced by the representation S-m(C-n) of K. (C) 2017 Elsevier B.V. All rights reserved.
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页码：452 / 460
页数：9
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