61877 20200221144231.0 doi 10.1007/S00031-015-9352-7 sideral 99255 ART-2016-99255 eng Andrada, Adrián Abelian balanced Hermitian structures on unimodular Lie algebras 2016 Access copy available to the general public Unrestricted Let g be a 2n-dimensional unimodular Lie algebra equipped with a Hermitian structure (J; F) such that the complex structure J is abelian and the fundamental form F is balanced. We prove that the holonomy group of the associated Bismut connection reduces to a subgroup of SU(n ?? k), being 2k the dimension of the center of g. We determine conditions that allow a unimodular Lie algebra to admit this particular type of structures. Moreover, we give methods to construct them in arbitrary dimensions and classify them if the Lie algebra is 8-dimensional and nilpotent. info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.583 2016 MATHEMATICS 179 / 310 = 0.577 2016 Q3 T2 1.403 2016 Geometry and Topology 2016 Q1 Algebra and Number Theory 2016 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0001-6790-7342 Villacampa Gutierrez, Raquel 21, 4 (2016), 903-927 Transform. groups TRANSFORMATION GROUPS 1083-4362 350078 http://zaguan.unizar.es/record/61877/files/texto_completo.pdf Postprint 89006 http://zaguan.unizar.es/record/61877/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:61877 articulos driver 2020-02-21-13:19:22 ARTICLE