Quantum immanants, double Young-Capelli bitableaux and Schur shifted symmetric functions

Andrea Brini, Antonio Teolis

In this paper are introduced two classes of elements in the enveloping algebra $\mathbf{U}(gl(n))$: the \emph{double Young-Capelli bitableaux} $[\ \fbox{$S \ | \ T$}\ ]$ and the \e…