3 papers
math-ph2023
Models for irreducible representations of the symplectic algebra using Dirac-type operators
Guner Muarem
In this paper we will study both the finite and infinite-dimensional representations of the symplectic Lie algebra and develop a polynomial model for these repr…
math.RT2023
A Hermitian refinement of symplectic Clifford analysis
David Eelbode, Guner Muarem
In this paper we develop the Hermitian refinement of symplectic Clifford analysis, by introducing a complex structure on the canonical symplectic manifold $(\mathbb {R…
math.SG2019
The Symplectic Fueter-Sce Theorem
David Eelbode, Sonja Hohloch, Güner Muarem
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 , which…