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- W2198192011 abstract "We present a complete classification and the construction of $mathrm{Mp}(2n+2,mathbb{R})$-equivariant differential operators acting on the principal series representations, associated to the contact projective geometry on $mathbb{RP}^{2n+1}$ and induced from the irreducible $mathrm{Mp}(2n,mathbb{R})$-submodules of the Segal-Shale-Weil representation twisted by a one-parameter family of characters. The proof is based on the classification of homomorphisms of generalized Verma modules for the Segal-Shale-Weil representation twisted by a one-parameter family of characters, together with a generalization of the well-known duality between homomorphisms of generalized Verma modules and equivariant differential operators in the category of inducing smooth admissible modules." @default.
- W2198192011 created "2016-06-24" @default.
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- W2198192011 date "2015-12-27" @default.
- W2198192011 modified "2023-09-27" @default.
- W2198192011 title "Differential invariants on symplectic spinors in contact projective geometry" @default.
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