[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c160222

COFINITE PROPER CLASSIFYING SPACES FOR LATTICES IN SEMISIMPLE LIE GROUPS OF ℝ-RANK 1

Kang, Hyosang (College of Transdisciplinary Studies DGIST)

Publication Information

Communications of the Korean Mathematical Society / v.32, no.3, 2017 , pp. 745-763 More about this Journal

Abstract

The Borel-Serre partial compactification gives cofinite models for the proper classifying space for arithmetic lattices. Non-arithmetic lattices arise only in semisimple Lie groups of ${\mathbb{R}}$ -rank one. The author generalizes the Borel-Serre partial compactification to construct cofinite models for the proper classifying space for lattices in semisimple Lie groups of ${\mathbb{R}}$ -rank one by using the reduction theory of Garland and Raghunathan.

Keywords

partial compactification; reduction theory; Lattices in Lie groups; proper classifying spaces;

Citations & Related Records

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