21 citations · 80 across the 62 of their papers we have counts for
4 papers · 1 filter
A characterization of Dynkin elements
Paul E. Gunnells, Eric Sommers
We give a characterization of the Dynkin elements of a simple Lie algebra. Namely, we prove that one-half of a Dynkin element is the unique point of minimal length in its N-region.…
Geometry of the tetrahedron space
Eric Babson, Paul E. Gunnells, Richard Scott
Let X^{circ} be the space of all labeled tetrahedra in P^{3}. In [BGS] we constructed a smooth symmetric compactification X-tilde of X^{circ}. In this article we show that the comp…
Units, polyhedra, and a conjecture of Satake
Paul E. Gunnells, Jacob Sturm
Let $F/\QQ $ be a totally real number field of degree . We explicitly evaluate a certain sum of rational functions over a infinite fan of -rational polyhedral cones in terms…
Toric modular forms of higher weight
Lev A. Borisov, Paul E. Gunnells
In two previous papers we used the geometry of complete polyhedral fans to construct a subring $\TTT (l)$ of the modular forms on , and showed that for weight two the cu…