On invariant operations of Fedosov structures

This paper describes the spaces of natural tensors associated to Fedosov structures by an identification with some linear representations of the symplectic Lie group Sp ( 2 n , R ) . This is accomplished with no restrictions on the order of the natural tensors involved and through use of the languag...

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Bibliographic Details
Published in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2024, Vol.118 (1), Article 24
Main Authors: Gordillo-Merino, Adrián, Martínez-Bohórquez, Raúl, Navarro-Garmendia, José
Format: Article
Language:English
Subjects:
Applications of Mathematics
Lie groups
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Sheaves
Tensors
Theoretical
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Summary:This paper describes the spaces of natural tensors associated to Fedosov structures by an identification with some linear representations of the symplectic Lie group Sp ( 2 n , R ) . This is accomplished with no restrictions on the order of the natural tensors involved and through use of the language of sheaves and ringed spaces.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-023-01524-5