David Richter's Publications:
9. pdf Green Quaternions, Tenacious Symmetry, and Octahedral Zome. (With Scott Vorthmann.) Proceedings, Bridges London: Connections between Mathematics, Art, and Music, Reza Sarhangi and John Sharp (editors). (2006) 429-436.
8. pdf Lie Superalgebras Associated with Constant Sectional Curvature. Geometriae Dedicata. Volume 112, Number 1, April 2005, 129-140.
7. pdf Two results concerning the Zome model of the 600-cell. Proceedings, Renaissance Banff: Mathematical Connections between Mathematics, Art, and Music, Robert Moody and Reza Sarhangi (editors). (2005) 419-426.
6. pdf Gosset's figure in a Clifford algebra. Advances in Applied Clifford Algebras. Volume 14, Number 1, 2004, 215-224.
5. pdf Colored brackets and 2-manifolds. Journal of Geometry and Physics. Volume 39, Issue 1, 2001, 1-8.
4. pdf Semisimple Lie algebras of differential operators. Acta Applicandae Mathematicae. Volume 66, Number 1, March 2001, 41-65.
3. ps Z-gradations of Lie algebras and infinitesimal generators. Journal of Lie Theory, Volume 9, Number 1, 1999, 113-123.
2. ps Quantization of cohomology in semi-simple Lie algebras. (With Robert Milson.) Journal of Lie Theory. Volume 8, Number 2, 1998, 401-414.
1. Convergent ratios of parallel recursive functions. Pi Mu Epsilon Journal. Volume 9, Number 3, Fall 1990, 145-153. 1990.
David Richter's Potential Publications:
pdf Triacontagonal coordinates for the E8 root system. Also available at the arXiv.
Branching rules and splints of root systems. Submitted.
David Richter's Ongoing Projects:
Zome models of exceptional polytopes. (With Scott Vorthmann.)
Hybrid-algebra constructions of simple Lie algebras.
Lie superalgebras of matrix differential operators. A Maple worksheet displaying some of my progress on this project is available here.
Ghost symmetry. Here is one of my favorite examples.