Symmetries and reduction of multiplicative 2-forms | Zendy

Henrique Bursztyn | Zendy; Alejandro Cabrera | Zendy

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Symmetries and reduction of multiplicative 2-forms

Author(s) -

Henrique Bursztyn,

Alejandro Cabrera

Publication year - 2012

Publication title -

the journal of geometric mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.511

H-Index - 17

eISSN - 1941-4897

pISSN - 1941-4889

DOI - 10.3934/jgm.2012.4.111

Subject(s) - infinitesimal , homogeneous space , multiplicative function , mathematics , lie group , reduction (mathematics) , pure mathematics , dirac (video compression format) , algebra over a field , mathematical analysis , physics , geometry , quantum mechanics , neutrino

This paper is concerned with symmetries of closed multiplicative 2-forms on Lie groupoids and their infinitesimal counterparts. We use them to study Lie group actions on Dirac manifolds by Dirac diffeomorphisms and their lifts to presymplectic groupoids, building on recent work of Fernandes-Ortega-Ratiu \cite{FOR} on Poisson actions.

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