In this paper general symplectic matrix pencils are considered disregarding the particular matrix equations from which they arise. A parameterization of the Lagrangian de ating subspaces is given with the only assumption of regularity of the matrix pencil.
A combinatorial identity arising from symplectic geometry
โ Scribed by Hao Ding
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2009
- Tongue
- English
- Weight
- 227 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we explore a research problem of Greene: to find inequalities for the Miibius function which become equalities in the presence of modularity. We replace these inequalities with identities and give combinatorial interpretations for the difference.
We study a combinatorial optimization problem related to the automatic classification of texts. The problem consists of covering a given text using strings from a given set, where a cost is incurred for each type of string used. We give a 0-1 linear programming formulation and we report on computati
## 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