Determinantal ideals and the Capelli identities

DOI10.1016/0024-3795(85)90081-3zbMath0616.13009OpenAlexW2004494466MaRDI QIDQ1821150

Ian M. Anderson

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90081-3

zbMATH Keywords

polynomial ringdeterminantal varietydeterminantal idealCapelli identities

Mathematics Subject Classification ID

Determinantal varieties (14M12) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25)

Cites Work

• Unnamed Item
• Natural variational principles on Riemannian manifolds
• On the symbolic powers of determinantal ideals
• Young diagrams and determinantal varieties
• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• The uniqueness of the Einstein field equations in a foru-dimensional space
• Criteria for equality of ordinary and symbolic powers of primes
• Higher Euler operators and some of their applications
• Hyperjacobians, determinantal ideals and weak solutions to variational problems
• On the Existence of Global Variational Principles
• A Remark on Determinantal Loci
• SOME REMARKS ON THE THEORY OF IDEALS DEFINED BY MATRICES

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