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Classification of \(\mathfrak p\)-homomorphisms between higher symplectic spinors. (English) Zbl 1193.53171
Čadek, Martin (ed.), The proceedings of the 25th winter school “Geometry and physics”, Srní, Czech Republic, January 15–22, 2006. Palermo: Circolo Matemático di Palermo. Supplemento ai Rendiconti del Circolo Matemático di Palermo. Serie II 79, 117-127 (2006).
Summary: In this article, \(\mathfrak p\)-homomorphisms from a first jet prolongation of the so called higher symplectic spinor module into an arbitrary higher symplectic spinor module are classified. This is the first step in the classification of first order invariant differential operators acting between fields with values in higher symplectic spinors over projective contact manifolds. An “infinitesimal version” of the prospective classification is established by a procedure described in this article.
For the entire collection see [Zbl 1103.53001].
53D10 Contact manifolds (general theory)
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)