Double Lie algebroids and representations up to homotopy

Autor:	Alfonso Gracia-Saz, M. Jotz Lean, Rajan Amit Mehta, Kirill C. H. Mackenzie
Rok vydání:	2017
Předmět:	Mathematics - Differential Geometry Lie algebroid Pure mathematics Algebra and Number Theory Homotopy 010102 general mathematics Tangent 01 natural sciences Matched pair Number theory Differential Geometry (math.DG) Mathematics::K-Theory and Homology Mathematics::Quantum Algebra 0103 physical sciences FOS: Mathematics 010307 mathematical physics Geometry and Topology 0101 mathematics Mathematics::Symplectic Geometry Primary: 53D17 Secondary: 17B66 18D05 Mathematics
Zdroj:	Journal of Homotopy and Related Structures. 13:287-319
ISSN:	1512-2891 2193-8407
DOI:	10.1007/s40062-017-0183-1
Popis:	We show that double Lie algebroids, together with a chosen linear splitting, are equivalent to pairs of 2-term representations up to homotopy satisfying compatibility conditions which extend the notion of matched pair of Lie algebroids. We discuss in detail the tangent of a Lie algebroid.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b234ec0fb0f6b151e7026610f33a3fc4 https://doi.org/10.1007/s40062-017-0183-1 Zobrazit plný text záznamu Full text from SpringerLink