HOMOTOPY REPRESENTATIONS OVER THE ORBIT CATEGORY

被引：4

作者：

Hambleton, Ian ^{[1
]}

Yalcin, Ergun ^{[2
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2014年 / 16卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

homotopy representation; orbit category; COMPLEXES;

D O I：

10.4310/HHA.2014.v16.n2.a19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. The unit sphere in a finite-dimensional orthogonal G-representation motivates the definition of homotopy representations, due to tom Dieck. We introduce an algebraic analogue and establish its basic properties, including the Borel-Smith conditions and realization by finite G-CW-complexes.

引用

页码：345 / 369

页数：25

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