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

preprint2015arXivOpen access

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.

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

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