Jacobi Trudi Formula For The Higher Capelli Elements Of Classical Lie Algebras 2022 (English)In: Kyushu Journal of Mathematics, ISSN 1340-6116, E-ISSN 1883-2032, Vol. 76, no 1, p. 13-25Article in journal (Refereed) Published

Abstract [en]

We propose a unified method for constructing higher Capelli elements for the classical Lie algebras. The higher Capelli elements are obtained as the Jacobi Trudi determinants of central elements attached to partitions of single columns.

Place, publisher, year, edition, pages

Faculty of Mathematics, Kyushu University , 2022. Vol. 76, no 1, p. 13-25

Keywords [en]

classical Lie algebra, central element, Jacobi Trudi formula, higher Capelli element

National Category

Subatomic Physics Algebra and Logic Computational Mathematics

Identifiers

URN: urn:nbn:se:kth:diva-314830DOI: 10.2206/kyushujm.76.13ISI: 000806987600002Scopus ID: 2-s2.0-85129045868OAI: oai:DiVA.org:kth-314830DiVA, id: diva2:1676855

Note

QC 20220627

Available from: 2022-06-27 Created: 2022-06-27 Last updated: 2022-06-27Bibliographically approved

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Noumi, Masatoshi

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Mathematics (Dept.)

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Subatomic PhysicsAlgebra and LogicComputational Mathematics

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