The Symplectic Fueter–Sce Theorem
2020
In this paper we present a symplectic analogue of the Fueter theorem. This allows the construction of special (polynomial) solutions for the symplectic Dirac operator
$$D_s$$
, which is defined as the first-order
$$\mathfrak {sp}(2n)$$
-invariant differential operator acting on functions on
$$\mathbb {R}^{2n}$$
taking values in the metaplectic spinor representation.
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