10 citations · 26 across the 9 of their papers we have counts for
10 papers
Dimension identities, almost self-conjugate partitions, and BGG complexes for Hermitian symmetric pairs
William Q. Erickson, Markus Hunziker
An almost self-conjugate (ASC) partition has a Young diagram in which each arm along the diagonal is exactly one box longer than its corresponding leg. Classically, the ASC partiti…
On foci of ellipses inscribed in cyclic polygons
Markus Hunziker, Andrei Martinez-Finkelshtein, Taylor Poe +1
Given a natural number and two points and in the unit disk in the complex plane, it is known that there exists a unique elliptical disk having and…
Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials
Markus Hunziker, Andrei Martinez-Finkelshtein, Taylor Poe +1
We study algebraic curves that are envelopes of families of polygons supported on the unit circle T. We address, in particular, a characterization of such curves of minimal class a…
Explicit Pieri Inclusions
Markus Hunziker, John Miller, Mark Sepanski
By the Pieri rule, the tensor product of an exterior power and a finite-dimensional irreducible representation of a general linear group has a multiplicity-free decomposition. The…
The minimal representation of the conformal group and classic solutions to the wave equation
Markus Hunziker, Mark R. Sepanski, Ronald J. Stanke
We give a uniform realization of the minimal representation of a double cover of the conformal group SO(2,n+1)_0 in the kernel of the wave operator on flat Minkowski space as a pos…
Distinguished orbits and the L-S category of simply connected compact Lie groups
Markus Hunziker, Mark R. Sepanski
We show that the Lusternik-Schnirelmann category of a simple, simply connected, compact Lie group G is bounded above by the sum of the relative categories of certain distinguished…