Lie-nijenhuis Bialgebroids

被引：2
|
作者：
Drummond, Thiago [1 ]
机构：
[1] Univ Fed Rio de Janeiro, Inst Matemat, Dept Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, Brazil
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2022年 / 73卷 / 03期
关键词：
POISSON; GROUPOIDS; TANGENT; LIFTS;
D O I：
10.1093/qmath/haab048
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce Lie-Nijenhuis bialgebroids as Lie bialgebroids endowed with an additional derivation-like object. They give a complete infinitesimal description of Poisson-Nijenhuis (PN) groupoids, and key examples include PN manifolds, holomorphic Lie bialgebroids and flat Lie bialgebra bundles. To achieve our goal we develop a theory of 'generalized derivations' and their duality, extending the well-established theory of derivations on vector bundles.
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页码：849 / 883
页数：35
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