arXiv subjects

Martin Karel

Publications and source records attributed to Martin Karel.

2 recordsLinked to original sources

arXiv2008

Some quantum vertex algebras of Zamolodchikov-Faddeev type

This is a continuation of a previous study of quantum vertex algebras of Zamolodchikov-Faddeev type. In this paper, we focus our attention on the special case associated to diagonal unitary rational quantum Yang-Baxter operators. We prove that the associated weak quantum vertex algebras, if not zero, are irreducible quantum vertex algebras with a normal basis in a certain sense.

math.QA↗

arXiv1998

Certain generating subspaces for vertex operator algebras

We study minimal generating subspaces of "weak PBW type" for vertex operator algebras that satisfy a certain condition on the grading, and we develop a procedure for finding such subspaces. As applications, we derive some results on generalized modules and produce a minimal generating space of weak PBW type for the vertex operator algebra $V_L$ associated with any positive-definite even lattice $L$.

math.QA↗