\(A\) -manifolds admitting a functorial connection

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• 作者：P. M. Gadea (1)
  J. Mu?oz Masqué (2)
  L. M. Pozo Coronado (3)
  
• 关键词：$$A$$ A ; manifold ; $$C^{\star }$$ C ?algebra ; $$G$$ G ; structure ; Principal connection ; Primary 53C05 ; Secondary 16D60 ; 16D70 ; 30G35 ; 53C10
• 刊名：Annali di Matematica Pura ed Applicata
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：193
• 期：6
• 页码：1795-1805
• 全文大小：201 KB
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  17. Kugo, T., Townsend, P.: Supersymmetry and the division algebras. Nucl. Phys. B 221(2), 357-80 (1983) CrossRef
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• 作者单位：P. M. Gadea (1)
  J. Mu?oz Masqué (2)
  L. M. Pozo Coronado (3)
  
  1. Instituto de Física Fundamental, CSIC, C/ Serrano 113-bis, 28006, Madrid, Spain
  2. Instituto de Seguridad de la Información, CSIC, C/ Serrano 144, 28006, Madrid, Spain
  3. Departamento de Matemática Aplicada, Escuela Universitaria de Informática, Universidad Politécnica de Madrid, Carretera de Valencia, Km. 7, 28031, Madrid, Spain
  
• ISSN：1618-1891

文摘

A connection for a large class of \(G\) -structures is defined by means of a generic condition on the adjoint bundle, and it is compared with the standard connections for classical \(G\) -structures. A characterization of the (not necessarily commutative) finite-dimensional \(\mathbb R \) -algebras \(A\) for which \(GL(r,A)\) -structures admit such a connection is obtained.