2 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
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…
Branching symplectic monogenics using a Mickelsson--Zhelobenko algebra
David Eelbode, Guner Muarem
In this paper we consider (polynomial) solution spaces for the symplectic Dirac operator (with a focus on -homogeneous solutions). This space forms an infinite-dimensional repre…
Unitary Howe dualities for fermionic and bosonic algebras and related Dirac operators
Guner Muarem
In this paper we use the canonical complex structure on to introduce a twist of the symplectic Dirac operator. As a matter of fact, these operators c…
Point vortex dynamics on Kähler twistor spaces
Sonja Hohloch, Guner Muarem
In this paper, we provide tools to study the dynamics of point vortex dynamics on and the flag manifold . These are the only Kähler…
The orthogonal branching problem for symplectic monogenics
David Eelbode, Guner Muarem
In this paper we study the sp(2m)-invariant Dirac operator Ds which acts on symplectic spinors, from an orthogonal point of view. By this we mean that we will focus on the subalgeb…
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…