Twisting functors and Gelfand--Tsetlin modules over semisimple Lie algebras

Vyacheslav Futorny, Libor Krizka

We associate to an arbitrary positive root $\alpha$ of a complex semisimple finite-dimensional Lie algebra $\mfrak{g}$ a twisting endofunctor $T_{\alpha }$ of the category of $\mfrak{g}$-module…