3 papers
math.CO2023
Capelli-Deruyts bitableaux and the classical Capelli generators of the center of the enveloping algebra
Andrea Brini, Antonio Teolis
In this paper, we consider a special class of Capelli bitableaux, namely the Capelli-Deruyts bitableaux. The main results we prove are the hook coefficient lemma and the expansion…
math.RT2021
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 : the \emph{double Young-Capelli bitableaux} $[\ \fbox{$S \ | \ T$}\ ]$ and the \e…
math.RT2018
Young-Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants
Andrea Brini, Antonio Teolis
We propose a new approach to a unified study of determinants, permanents, immanants, (determinantal) bitableaux and symmetrized bitableaux in the polynomial algebra a…