Artículo
Locally conformal symplectic structures on Lie algebras of type i and their solvmanifolds
Fecha de publicación:
01/05/2019
Editorial:
De Gruyter
Revista:
Forum Mathematicum
ISSN:
0933-7741
e-ISSN:
1435-5337
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We study Lie algebras of type I, that is, a Lie algebra g where all the eigenvalues of the operator ad X are imaginary for all X g. We prove that the Morse-Novikov cohomology of a Lie algebra of type I is trivial for any closed 1-form. We focus on locally conformal symplectic structures (LCS) on Lie algebras of type I. In particular, we show that for a Lie algebra of type I any LCS structure is of the first kind. We also exhibit lattices for some 6-dimensional Lie groups of type I admitting left invariant LCS structures in order to produce compact solvmanifolds equipped with an invariant LCS structure.
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Identificadores
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Origlia, Marcos Miguel; Locally conformal symplectic structures on Lie algebras of type i and their solvmanifolds; De Gruyter; Forum Mathematicum; 31; 3; 1-5-2019; 563-578
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