Functorial prolongations of Lie groupoids

被引：0

作者：

Kolar, Ivan ^{[1
]}

机构：

[1] Masaryk Univ, Fac Sci, Dept Algebra & Geometry, Brno 60200, Czech Republic

来源：

GEOMETRY AND TOPOLOGY OF MANIFOLDS: THE MATHEMATICAL LEGACY OF CHARLES EHRESMANN ON THE OCCASION OF THE HUNDREDTH ANNIVERSARY OF HIS BIRTHDAY | 2007年 / 76卷

关键词：

Lie groupoid; fiber product preserving bundle functor; functorial prolongation; Weil algebra;

D O I：

10.4064/bc76-0-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every Lie groupoid Phi with m-dimensional base M and every fiber product preserving bundle functor F on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps, we construct a Lie groupoid F Phi over M. Every action of D on a fibered manifold Y -> M is extended to an action of F Phi on FY -> M.

引用

页码：177 / 184

页数：8

共 11 条

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