We found a necessary and sufficient condition for the existence of the tensorproduct of modules over a vertex algebra. We defined the notion of vertexbilinear map and we provide two algebraic construction of the tensor ...

Based on the definition of vertex coalgebra introduced by Hubbard, 2009, we prove that this notion can be reformulated usingcoskew symmetry, coassociator and cocommutator formulas without restrictions on the grading. We ...

We introduce several definitions within the framework ofvertex and conformal algebras which are analogous to some importantconcepts of the classical Lie theory. Most importantly, we define vertexmanifolds, which correspond ...

The Schubert derivation is a distinguished Hasse–Schmidt derivation on the exterior algebra of a free abelian group, encoding the formalism of Schubert calculus for all Grassmannians at once. The purpose of this paper is ...

We describe the adjacency of vertices of the (unbounded version of the) set covering polyhedron, in a similar way to the description given by Chvátal for the stable set polytope. We find a sufficient condition for adjacency, ...