16 citations · 28 across the 13 of their papers we have counts for
14 papers
A Lie group analog for the Monster Lie algebra
Lisa Carbone, Elizabeth Jurisich, Scott H. Murray
The Monster Lie algebra , which admits an action of the Monster finite simple group , was introduced by Borcherds as part of his work on the Conway--Norton Mo…
Vertex operators for imaginary subalgebras in the Monster Lie Algebra
Darlayne Addabbo, Lisa Carbone, Elizabeth Jurisich +2
The Monster Lie algebra is a quotient of the physical space of the vertex algebra , where is the Moonshine module vertex ope…
Constructing a Lie group analog for the Monster Lie algebra
Lisa Carbone, Elizabeth Jurisich, Scott H. Murray
We describe various approaches to constructing groups which may serve as Lie group analogs for the monster Lie algebra of Borcherds.
The three point gauge algebra and an action on a Fock space
Ben Cox, Elizabeth Jurisich, Renato Martins
The three point current algebra where and three-point Virasoro algebra both act on a previously con…
The 3-point Virasoro algebra and its action on a Fock space
Ben Cox, Elizabeth Jurisich, Renato Martins
We define a 3-point Virasoro algebra, and construct a representation of it on a previously defined Fock space for the 3-point affine algebra $\mathfrak{sl}(2, \mathcal R) \oplus\le…
Determination of the 2- cocycles for the three point Witt algebra
Elizabeth Jurisich, Renato A. Martins
We provide formulas for computing the cocycles on a 3-point Witt algebra Der(R), using an isomorphism between two 3-point algebras Der(R) and Der(S), where the cocycle is already d…
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…
A Wakimoto type realization of toroidal
Samuel Buelk, Ben L. Cox, Elizabeth Jurisich
The authors construct a Wakimoto type realization of toroidal The representation constructed in this paper utilizes non-commuting differential operators actin…
Borcherds' proof of the Conway-Norton conjecture
Elizabeth Jurisich
We give a summary of R. Borcherds' solution (with some modifications) to the following part of the Conway-Norton conjectures: Given the Monster simple group and Frenkel-Lepowsky-Me…
Realizations of the Monster Lie algebra
Elizabeth Jurisich, James Lepowsky, R. L. Wilson
We study aspects of the theory of generalized Kac-Moody Lie algebras (or Borcherds algebras) and their standard modules. It is shown how such an algebra with no mutually orthogonal…