37 citations · 117 across the 23 of their papers we have counts for
24 papers
Geometric realizations of the Lie superalgebra D(2,1;a)
Anna Escofet, Boris Kruglikov, Dennis The
For every parabolic subgroup of a Lie supergroup , the homogeneous superspace carries a -invariant supergeometry. We address the question whether $\mathfrak{g}=\tex…
Conformal structures with -symmetric twistor distribution
Pawel Nurowski, Katja Sagerschnig, Dennis The
For any 4D split-signature conformal structure, there is an induced twistor distribution on the 5D space of all self-dual totally null 2-planes, which is when the conform…
Symmetries of -distributions and associated Legendrian cone structures
Jun-Muk Hwang, Dennis The
We exploit a natural correspondence between holomorphic -distributions and nondegenerate lines on holomorphic contact manifolds of dimension to present a new perspecti…
On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class
Johnson Allen Kessy, Dennis The
The fundamental invariants for vector ODEs of order considered up to point transformations consist of generalized Wilczynski invariants and C-class invariants. An ODE of C-…
Exceptionally simple super-PDE for
Andrea Santi, Dennis The
For the largest exceptional simple Lie superalgebra , having dimension , we provide two explicit geometric realizations as supersymmetries, namely as the symmetry su…
A Cartan-theoretic classification of multiply-transitive -distributions
Dennis The
In his 1910 paper, Élie Cartan gave a tour-de-force solution to the (local) equivalence problem for generic rank 2 distributions on 5-manifolds, i.e. -distributions. From…