Capelli's theory, Koszul maps, and superalgebras.

DOI10.1073/pnas.90.21.10245zbMath0794.17003OpenAlexW2051410640WikidataQ36642021 ScholiaQ36642021MaRDI QIDQ4277974

Andrea Brini, Antonio G. B. Teolis

Publication date: 26 January 1994

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.90.21.10245

zbMATH Keywords

enveloping algebrastraightening lawscentral elementslinear Lie superalgebraYoung-Capelli bitableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Superalgebras (17A70)

Related Items (6)

Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions ⋮ Capelli-Deruyts bitableaux and the classical Capelli generators of the center of the enveloping algebra U( gl ( n )) ⋮ COSTANDARD MODULES OVER SCHUR SUPERALGEBRAS IN CHARACTERISTIC p ⋮ On the action of the Koszul map on the enveloping algebra of the general linear Lie algebra ⋮ The umbral symbolic method for supersymmetric tensors ⋮ Young–Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants

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