2 citations · 3 across the 6 of their papers we have counts for
7 papers
Embedding of certain vertex algebras without vacuum into vertex algebras
Thomas J. Robinson
We show that certain vertex algebras without vacuum vector may be embedded into vertex algebras. The result is a partial analogue of the simple classical fact that any rng can be e…
A classical vertex algebra constructed with the use of some logarithmic formal calculus
Thomas Robinson
Using some new logarithmic formal calculus, we construct a well known vertex algebra, obtaining the Jacobi identity directly, in an essentially self-contained treatment.
Formal Iterated Logarithms and Exponentials and the Stirling Numbers
Thomas J. Robinson
We calculate the formal analytic expansions of certain formal translations in a space of formal iterated logarithmic and exponential variables. The results show how the algebraic s…
A recursion identity for formal iterated logarithms and iterated exponentials
Thomas J. Robinson
We prove a recursive identity involving formal iterated logarithms and formal iterated exponentials. These iterated logarithms and exponentials appear in a natural extension of the…
Formal calculus and umbral calculus
Thomas J. Robinson
In this paper we use the viewpoint of the formal calculus underlying vertex operator algebra theory to study certain aspects of the classical umbral calculus and we introduce and s…
New perspectives on exponentiated derivations, the formal Taylor theorem, and Faà di Bruno's formula
Thomas J. Robinson
We discuss certain aspects of the formal calculus used to describe vertex algebras. In the standard literature on formal calculus, the expression , where is not nece…