Integrability criterion for abelian extensions of Lie groups

• Autores: Pedram Hekmati
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 4137-4148
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10423-9
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• Resumen

  • We establish a criterion for when an abelian extension of infinite-dimensional Lie algebras integrates to a corresponding Lie group extension , where is connected, simply connected and for some discrete subgroup . When , the kernel is replaced by a central extension of by .