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papers

Publications (26)

math.RT2015

Imaginary Verma Modules for $U_q(\widehat{\mathfrak{sl}(2)})$ and Crystal-like bases

Ben Cox, Vyacheslav Futorny, Kailash Misra

math-ph2018

Families of orthogonal Laurent polynomials, hyperelliptic Lie algebras and elliptic integrals

Ben Cox, Mee Seong Im

math.RT2016

Certain families of Polynomials arising in the study of hyperelliptic Lie algebras

Ben Cox, Kaiming Zhao

math.RT2013

$N$-point Virasoro Algebras and Their Modules of Densities

Ben Cox, Xiangqian Guo, Rencai Lu +1

math.RA2010

DJKM algebras I: Their Universal Central Extension

Ben Cox, Vyatcheslav Futorny

math.RT2015

On the Universal Central Extension of Hyperelliptic Current Algebras

Ben Cox

math.RT2018

Imaginary crystal bases for $U_q(\widehat{\mathfrak{sl}(2)})$-modules in category $\mathcal O^q_{\text{red,im}}$

Ben Cox, Vyacheslav Futorny, Kailash C. Misra

math.RT2016

Module structure of the center of the universal central extension of a genus zero Krichever-Novikov algebra

Ben Cox

math.RT2018

$\mathfrak F$-categories and $\mathfrak F$-functors in Representation Theory II

Ben Cox

math-ph2013

Representations of $a_{\infty}$ and $d_{\infty}$ with central charge 1 on the single neutral fermion Fock space $\mathit{F^{\otimes \frac{1}{2}}}$

Iana I. Anguelova, Ben Cox, Elizabeth Jurisich

math.RT2009

Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$

Ben Cox, Vyacheslav Futorny, Kailash C. Misra

math.RT2018

On the module structure of the center of hyperelliptic Krichever-Novikov algebras II

Ben Cox, Xiangqian Guo, Mee Seong Im +1

math.RT2018

Categorification of Verma modules and indecomposable projective modules in the category $\mathcal I_{\mathfrak{g}}(\mathfrak{sl}_2)$ for $\mathfrak{sl}_2$

Ben Cox, Mee Seong Im

math.RT2011

Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation

Ben Cox, Vyacheslav Futorny, Renato Martins

math.CA2014

DJKM algebras and non-classical orthogonal polynomials

Ben Cox, Vyacheslav Futorny, Juan A. Tirao

math.RT2018

The three point gauge algebra $\mathcal V\ltimes \mathfrak{sl}(2, \mathcal R) \oplus\left(Ω_{\mathcal R}/d{\mathcal R}\right)$ and an action on a Fock space

Ben Cox, Elizabeth Jurisich, Renato Martins

physics.med-ph2016

Quantitative photoacoustic tomography using forward and adjoint Monte Carlo models of radiance

Roman Hochuli, Samuel Powell, Simon Arridge +1

math.RT2018

On the module structure of the center of hyperelliptic Krichever-Novikov algebras

Ben Cox, Mee Seong Im

math.RT2014

An imaginary PBW basis for quantum affine algebras of type 1

Ben Cox, Vyacheslav Futorny, Kailash C. Misra

math.RT2003

Intermediate Wakimoto modules for Affine sl(n+1)

Ben Cox, Vyacheslav Futorny

math.RT2009

Free Field Realizations of the Elliptic Affine Lie Algebra sl(2,R)+Ω_R/dR

Andre Bueno, Ben Cox, Vyacheslav Futorny

math-ph2013

$N$-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras

Iana I. Anguelova, Ben Cox, Elizabeth Jurisich

math.QA2013

Kashiwara Algebras and Imaginary Verma Modules for $U_q(\hat{\mathfrak{g}})$

Ben Cox, Vyacheslav Futorny, Kailash C. Misra

math.RT2015

The 3-point Virasoro algebra and its action on a Fock space

Ben Cox, Elizabeth Jurisich, Renato Martins

math.RT2013

Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra

Ben Cox, Vyacheslav Futorny, Renato Alessandro Martins

math.RT2017

Simple superelliptic Lie algebras

Ben Cox, Xiangqian Guo, Rencai Lu +1