Measurable categories and 2-groups

被引：15

作者：

Crane, L ^{[1
]}

Yetter, DN ^{[1
]}

机构：

[1] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

来源：

APPLIED CATEGORICAL STRUCTURES | 2005年 / 13卷 / 5-6期

关键词：

representation; categorial group; 2-group; measurable category;

D O I：

10.1007/s10485-005-9004-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the theory of measurable categories developed in [10], we provide a notion of representations of 2-groups better suited to physically and geometrically interesting examples than that using 2-VECT (cf. [8]). Using this theory we sketch a 2-categorical approach to the state-sum model for Lorentzian quantum gravity proposed in [6], and suggest state-integral constructions for 4-manifold invariants.

引用

页码：501 / 516

页数：16

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