Ben Cox

collaborators

3 papers

math.RT2018

Imaginary crystal bases for $U_{q} (sl (2))$ -modules in category $O_{red,im}^{q}$

Ben Cox, Vyacheslav Futorny, Kailash C. Misra

Recently we defined imaginary crystal bases for $U_{q} (sl (2))$ - modules in category $O_{red,im}^{q}$ and showed the existence of such bases for red…

math.RT2009

Imaginary Verma modules and Kashiwara algebras for $U_{q} (sl (2))$

Ben Cox, Vyacheslav Futorny, Kailash C. Misra

We consider imaginary Verma modules for quantum affine algebra $U_{q} (sl (2)^)$ and construct Kashiwara type operators and the Kashiwara algebra $K_{q}$ . We sho…

math.RT2009

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

Andre Bueno, Ben Cox, Vyacheslav Futorny

In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2,R) + Ω_R/dR, where R=C[t,t^{-1},u|u^2=t^3 - 2b t^2 + t]. The first realization gives…

Imaginary crystal bases for Uq​(sl(2)​)-modules in category Ored,imq​

Imaginary Verma modules and Kashiwara algebras for Uq​(sl(2)​)

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

Imaginary crystal bases for $U_{q} (sl (2))$ -modules in category $O_{red,im}^{q}$

Imaginary Verma modules and Kashiwara algebras for $U_{q} (sl (2))$