000061877 001__ 61877
000061877 005__ 20200221144231.0
000061877 0247_ $$2doi$$a10.1007/S00031-015-9352-7
000061877 0248_ $$2sideral$$a99255
000061877 037__ $$aART-2016-99255
000061877 041__ $$aeng
000061877 100__ $$aAndrada, Adrián
000061877 245__ $$aAbelian balanced Hermitian structures on unimodular Lie algebras
000061877 260__ $$c2016
000061877 5060_ $$aAccess copy available to the general public$$fUnrestricted
000061877 5203_ $$aLet 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.
000061877 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2011-28326-C02-01
000061877 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000061877 590__ $$a0.583$$b2016
000061877 591__ $$aMATHEMATICS$$b179 / 310 = 0.577$$c2016$$dQ3$$eT2
000061877 592__ $$a1.403$$b2016
000061877 593__ $$aGeometry and Topology$$c2016$$dQ1
000061877 593__ $$aAlgebra and Number Theory$$c2016$$dQ1
000061877 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000061877 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa Gutierrez, Raquel
000061877 773__ $$g21, 4 (2016), 903-927$$pTransform. groups$$tTRANSFORMATION GROUPS$$x1083-4362
000061877 8564_ $$s350078$$uhttps://zaguan.unizar.es/record/61877/files/texto_completo.pdf$$yPostprint
000061877 8564_ $$s89006$$uhttps://zaguan.unizar.es/record/61877/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000061877 909CO $$ooai:zaguan.unizar.es:61877$$particulos$$pdriver
000061877 951__ $$a2020-02-21-13:19:22
000061877 980__ $$aARTICLE