Convexity in combinatorial structures
Correspondence between maximal ideals in associative algebras and Lie algebras
Counting triangles that share their vertices with the unit -cube
This paper is about -triangles, which are the simplest nontrivial examples of -polytopes: convex hulls of a subset of vertices of the unit -cube . We consider the subclasses of right -triangles, and acute -triangles, which only have acute angles. They can be explicitly counted and enumerated, also modulo the symmetries of .
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Crystallizing patterns of BGG sequences
Current Status of Mathematical Publications in Japan
In the present report, we show current status of mathematical journals in Japan. Because most of their electronic edition have been loaded on various digital repositories with support of OAI-PMH, we have been able to design a subject based portal website and visual user interface which consists of harvested metadata of the journals. The outline of the portal website is reported also.
Cyclic operads and homology of graph complexes