Roman M. Fedorov
Published 2008-12-24, updated 2010-08-14Version 3
We study some non-highest weight modules over an affine Kac-Moody algebra at non-critical level. Roughly speaking, these modules are non-commutative localizations of some non-highest weight "vacuum" modules. Using free field realization, we embed some rings of differential operators in endomorphism rings of our modules. These rings of differential operators act on a localization of the space of coinvariants of any module over the Kac-Moody algebra with respect to a certain level subalgebra. In a particular case this action is identified with the Casimir connection.
Comments: Final version, available at Springerlink.com
Journal: Selecta Mathematica, Vol. 16(2), July 2010
Unitary representations of the $\mathcal{W}_3$-algebra with $c\geq 2$
Smooth modules over the N=1 Bondi-Metzner-Sachs superalgebra
On the Beem-Nair Conjecture
![QR code for arXiv:0812.4472 [math.RT]](http://oss.arxitics.com/images/favicon.svg)