On the action of the Koszul map on the enveloping algebra of the general linear Lie algebra

DOI10.1080/00927872.2020.1786103zbMath1472.17025OpenAlexW3041276950MaRDI QIDQ5124601

Andrea Brini, Antonio G. B. Teolis

Publication date: 30 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2020.1786103

zbMATH Keywords

Young tableauxLie superalgebrasenveloping algebrascentral elementsCapelli determinants

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35)

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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 )) ⋮ Young–Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants

Cites Work

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• Capelli bitableaux and Z-forms of general linear Lie superalgebras.
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• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• Capelli's theory, Koszul maps, and superalgebras.
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