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

DOI10.1142/S0219498821501231zbMath1472.17026arXiv1807.10045OpenAlexW3039952382MaRDI QIDQ4997991

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Publication date: 1 July 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10045

zbMATH Keywords

Lie superalgebrascombinatorial representation theorycentral elementsimmanantsquantum immanantsYoung-Capelli bitableauxCapelli determinantsCapelli immanants

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)

Related Items (2)

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 ))

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