Generalized projective geometries: General theory and equivalance with Jordan structures.
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Bertram, Wolfgang (2002)
Advances in Geometry
Ivan Penkov (1994)
Monatshefte für Mathematik
Claude Roger (2009)
Archivum Mathematicum
We shall give a survey of classical examples, together with algebraic methods to deal with those structures: graded algebra, cohomologies, cohomology operations. The corresponding geometric structures will be described(e.g., Lie algebroids), with particular emphasis on supergeometry, odd supersymplectic structures and their classification. Finally, we shall explain how BV-structures appear in Quantum Field Theory, as a version of functional integral quantization.
A. Caranti, M. R. Vaughan-Lee (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Georgia Benkart, Thomas Gregory (1989)
Mathematische Annalen
Makarenko, N.Yu. (2007)
Sibirskij Matematicheskij Zhurnal
Yves Felix, Stephen Halperin, Jean-Claude Thomas (2003)
Annales scientifiques de l'École Normale Supérieure
Gouleau, Maxime (2002)
Journal of Lie Theory
Kuzmich, Olga (1999)
Lobachevskii Journal of Mathematics
De Paepe, Karl (2001)
International Journal of Mathematics and Mathematical Sciences
Félix, Yves, Halperin, Stephen, Thomas, Jean-Claude (2002)
Homology, Homotopy and Applications
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