157 citations · 498 across the 37 of their papers we have counts for
40 papers
Three dimensional construction of the Virasoro-Bott group
Igor B. Frenkel, Hyun Kyu Kim
We present a three-dimensional geometric construction of the Virasoro-Bott group, which is a central extension of the group of diffeomorphisms of the circle. Our approach is analog…
Sketch of a Program for Universal Automorphic Functions to Capture Monstrous Moonshine
Igor Frenkel, Robert Penner
We review and reformulate old and prove new results about the triad , which prov…
n-Regular Functions in Quaternionic Analysis
Igor Frenkel, Matvei Libine
In this paper we study left and right n-regular functions that originally were introduced in [FL4]. When n=1, these functions are the usual quaternionic left and right regular func…
Quaternionic Analysis, Representation Theory and Physics II
Igor Frenkel, Matvei Libine
We develop further quaternionic analysis introducing left and right doubly regular functions. We derive Cauchy-Fueter type formulas for these doubly regular functions that can be r…
A categorification of the boson-fermion correspondence via representation theory of $sl(\infty)
Igor Frenkel, Ivan Penkov, Vera Serganova
In recent years different aspects of categorification of the boson-fermion correspondence have been studied. In this paper we propose a categorification of the boson-fermion corres…
Anti De Sitter Deformation of Quaternionic Analysis and the Second Order Pole
Igor Frenkel, Matvei Libine
This is a continuation of a series of papers [FL1, FL2, FL3], where we develop quaternionic analysis from the point of view of representation theory of the conformal Lie group and…