✦ LIBER ✦
A Dynkin diagram classification theorem arising from a combinatorial problem
✍ Scribed by Robert A. Proctor
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 646 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
✦ Synopsis
Los .4ngrlrs.
Caljf'orrlia 90024
A combinatorial-linear algebraic condition suflicient for a ranked partially ordered set to be rank unimodal and strongly Sperner is presented. The distributive lattices which satisfy this condition are classified. These lattices are indexed by Dynkin diagrams of type ADE, which actually appear embedded in the Hasse diagrams of the lattices. ' 1986 Academic Press. Inc * Contained in the author's doctoral thesis written under the direction of R. P. Stanley at M.I.T., 1981.