16 citations · 28 across the 13 of their papers we have counts for
5 papers · 1 filter
A generalization of Lazard's elimination theorem
Elizabeth Jurisich, Robert L. Wilson
Using the classical Lazard's elimination theorem, we obtain a decomposition theorem for Lie algebras defined by generators and relations of a certain type. This is a preprint versi…
Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra
Elizabeth Jurisich
It is shown that any generalized Kac-Moody Lie algebra g that has no mutually orthogonal imaginary simple roots can be written as the vector space direct sum of a Kac-Moody subalge…
Representations of and with central charge 1 on the single neutral fermion Fock space
Iana I. Anguelova, Ben Cox, Elizabeth Jurisich
We construct a new representation of the infinite rank Lie algebra with central charge on the Fock space of a single neutral f…
-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras
Iana I. Anguelova, Ben Cox, Elizabeth Jurisich
In this paper we study fields satisfying -point locality and their properties. We obtain residue formulae for -point local fields in terms of derivatives of delta functions a…
Realizations of the three point algebra
Ben L. Cox, Elizabeth G. Jurisich
We describe the universal central extension of the three point current algebra where and construct…