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- Ben L. Cox
- 2010

The motivation for this paper goes back to at least the work of A. Borel, R. Bott and A. Weil on their geometric construction of irreducible representations of complex simple Lie groups, and the… (More)

- Ben L. Cox, Vyacheslav Futorny
- 2010

We show that our construction of boson type realizations of affine sl(n + 1) in terms of intermediate Wakimoto modules gives representations that are generically isomorphic to certain Verma type… (More)

- Ben L. Cox, Vyacheslav Futorny
- 2004

We construct certain boson-type realizations of affine sl(n + 1, C) that depend on a parameter 0 r n such that when r = 0 we get a Fock space realization appearing in [6] and when r = n they are the… (More)

In this article we study the structure of highest weight modules for quantum groups defined over a commutative ring with particular emphasis on the structure theory for invariant bilinear forms on… (More)

- SAMUEL BUELK, Ben L. Cox, ELIZABETH JURISICH
- 2010

The authors construct a Wakimoto type realization of toroidal sln+1 The representation constructed in this paper utilizes non-commuting differential operators acting on the tensor product of two… (More)

We construct free field realizations of the four point algebra sl(2, R) ⊕ ((R /d R), where R = [ރt, t −1 , u | u 2 = t 2 − 2bt + 1].

- Ben L. Cox, Vyacheslav Futorny, Kailash C. Misra
- 2009

We consider imaginary Verma modules for quantum affine algebra Uq( ̂ sl(2)) and construct Kashiwara type operators and the Kashiwara algebra Kq . We show that a certain quotient N− q of Uq( ̂ sl(2))… (More)

- Ben L. Cox, Paul H Steen
- Journal of colloid and interface science
- 2011

The cylindrical meniscus is a liquid/gas interface of circular-cap cross-section constrained along its axis and bounded by end-planes. The inviscid motions of coupled cylindrical menisci are studied… (More)

- Ben L. Cox, VYACHESLAV FUTORNY, Renato G. Martins
- 2012

We define the Virasoro algebra action on imaginary Verma modules for affine sl(2) and construct an analogue of the Knizhnik–Zamolodchikov equation in the operator form. Both these results are based… (More)

- IANA I. ANGUELOVA, Ben L. Cox, ELIZABETH JURISICH
- 2013

CONTENTS 1. Introduction 1 2. Notation and preliminary results 3 3. N-point locality of formal distributions 7 4. N-point local fields, operator product expansions (OPE's), normal ordered products… (More)

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