1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.RT2020
Positive energy representations of affine vertex algebras
Vyacheslav Futorny, Libor Křižka
We construct new families of positive energy representations of affine vertex algebras together with their free field realizations by using localization technique. We introduce the…
math.RT2019★ 1 cited
Twisting functors and Gelfand--Tsetlin modules over semisimple Lie algebras
Vyacheslav Futorny, Libor Krizka
We associate to an arbitrary positive root of a complex semisimple finite-dimensional Lie algebra $\mfrak{g}$ a twisting endofunctor of the category of $\mfrak{g}$-module…
math.QA2018
Generalized Verma modules over U_q(sl_n(C))
Vyacheslav Futorny, Libor Krizka, Jian Zhang
We construct realizations of quantum generalized Verma modules for U_q(sl_n(C)) by quan- tum differential operators. Taking the classical limit q ! 1 provides a realization of clas…