Duality Functors for Triple Vector Bundles

被引：13
|
作者：
Gracia-Saz, Alfonso [1 ]
Mackenzie, Kirill Charles Howard [2 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Univ Sheffield, Sch Math & Stat, Sheffield S3 7RH, S Yorkshire, England
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2009年 / 90卷 / 1-3期
基金：
日本学术振兴会;
关键词：
Double vector bundles; triple vector bundles; iterated tangent bundles; duality of multiple vector bundles; Lie algebroids; Poisson structures; extensions of symmetric groups; groups of order 96; POISSON GROUPOIDS;
D O I：
10.1007/s11005-009-0346-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We calculate the group of dualization operations for triple vector bundles, showing that it has order 96 and not 72 as given in Mackenzie's original treatment. The group is a nonsplit extension of S (4) by the Klein group. Dualization operations are interpreted as functors on appropriate categories and are said to be equal if they are naturally isomorphic. The method set out here will be applied in a subsequent paper to the case of n-fold vector bundles.
引用
收藏
页码：175 / 200
页数：26
相关论文
共 50 条
12345