Andrea Brini

most citedSuperalgebraic methods in the classical theory of representations. Capelli's identity, the Koszul map and the center of the enveloping algebra U(gl(n))

4 citations · 4 across the 2 of their papers we have counts for

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2 papers

math.CO2023

Capelli-Deruyts bitableaux and the classical Capelli generators of the center of the enveloping algebra $U (g l (n))$

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.RT2015★ 4 cited

Superalgebraic methods in the classical theory of representations. Capelli's identity, the Koszul map and the center of the enveloping algebra U(gl(n))

Andrea Brini

We show how the use of superalgebraic methods sheds new light on some classical themes of representation theory and it leads to significant simplifications of traditional proofs.

Capelli-Deruyts bitableaux and the classical Capelli generators of the center of the enveloping algebra U(gl(n))

Superalgebraic methods in the classical theory of representations. Capelli's identity, the Koszul map and the center of the enveloping algebra U(gl(n))

Capelli-Deruyts bitableaux and the classical Capelli generators of the center of the enveloping algebra $U (g l (n))$