A characterization of root lattices
β Scribed by Dayanand S. Rajan; Anil M. Shende
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 242 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
An ordered compact space is a compact topological space X, endowed with a partially ordered relation, whose graph is a closed set of X x X (of. [4]). An important subclass of these spaces is that of Priest/ey spaces, characterized by the following property: for every x, y ~X with x~y there is an inc
This is the fist of a planned series of papers on the structure of non-Arguesian modular lattices. Apart from the (subspace lattices of) non-Arguesian projective planes, the best known examples of such lattices are obtained via the Hal-Dilworth construction by 'badly' gluing together two projective
In the present paper we determine all the elements in the root lattices of symmetrizable KacαMoody algebras whose reflections preserve the root systems. Also we discuss elements in the root lattices whose reflections preserve the root lattices.